A New Candy Store Opened At The Mall, And All The Candy Is The Same Price. The Function { F(x) $}$ Gives The Price, In Dollars, Of { X $}$ Ounces Of Candy.What Does { F(4) = 1 $}$ Tell You?A. It Costs $4 To Buy 1
A New Candy Store: Understanding the Price Function
A new candy store has opened at the mall, and all the candy is priced the same. The store's owner has created a function, { f(x) $}$, which gives the price, in dollars, of { x $}$ ounces of candy. This function is a mathematical representation of the store's pricing strategy. In this article, we will explore what the function { f(x) $}$ tells us about the price of the candy and what the equation { f(4) = 1 $}$ means.
The function { f(x) $}$ represents the price of { x $}$ ounces of candy. This means that if we input a value for { x $}$, the function will output the corresponding price of the candy. For example, if we input { x = 2 $}$, the function will output the price of 2 ounces of candy.
Now, let's consider the equation { f(4) = 1 $}$. This equation tells us that when we input { x = 4 $}$ into the function, the output is { 1 $}$. In other words, the price of 4 ounces of candy is { 1 $}$.
So, what does the equation { f(4) = 1 $}$ tell us? It tells us that it costs { 1 $}$ to buy 4 ounces of candy. This means that the store is selling 4 ounces of candy for a fixed price of { 1 $}$.
The equation { f(4) = 1 $}$ has several implications for the store's pricing strategy. It tells us that the store is using a fixed pricing strategy, where the price of the candy is determined by the quantity of candy purchased. This means that the store is not using a variable pricing strategy, where the price of the candy is determined by factors such as the type of candy, the quality of the candy, or the location of the store.
In conclusion, the equation { f(4) = 1 $}$ tells us that it costs { 1 $}$ to buy 4 ounces of candy. This means that the store is selling 4 ounces of candy for a fixed price of { 1 $}$. The equation has several implications for the store's pricing strategy, including the use of a fixed pricing strategy.
To further analyze the equation { f(4) = 1 $}$, we can consider the following questions:
- What is the price of 1 ounce of candy?
- What is the price of 2 ounces of candy?
- What is the price of 3 ounces of candy?
To answer these questions, we can use the function { f(x) $}$ to input different values of { x $}$ and determine the corresponding prices.
To calculate the price of 1 ounce of candy, we can input { x = 1 $}$ into the function { f(x) $}$. This gives us:
{ f(1) = ? $}$
To determine the value of { f(1) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(1) = \frac{1}{4} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(1) = \frac{1}{4} (1) = \frac{1}{4} $}$
This means that the price of 1 ounce of candy is { \frac{1}{4} $}$.
To calculate the price of 2 ounces of candy, we can input { x = 2 $}$ into the function { f(x) $}$. This gives us:
{ f(2) = ? $}$
To determine the value of { f(2) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(2) = \frac{1}{2} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(2) = \frac{1}{2} (1) = \frac{1}{2} $}$
This means that the price of 2 ounces of candy is { \frac{1}{2} $}$.
To calculate the price of 3 ounces of candy, we can input { x = 3 $}$ into the function { f(x) $}$. This gives us:
{ f(3) = ? $}$
To determine the value of { f(3) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(3) = \frac{3}{4} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(3) = \frac{3}{4} (1) = \frac{3}{4} $}$
This means that the price of 3 ounces of candy is { \frac{3}{4} $}$.
In conclusion, we have calculated the prices of 1 ounce, 2 ounces, and 3 ounces of candy using the function { f(x) $}$. We have found that the price of 1 ounce of candy is { \frac{1}{4} $}$, the price of 2 ounces of candy is { \frac{1}{2} $}$, and the price of 3 ounces of candy is { \frac{3}{4} $}$.
To further analyze the function { f(x) $}$, we can consider the following questions:
- What is the price of { x $}$ ounces of candy?
- What is the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$?
- What is the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$ and the price of 2 ounces of candy is { q $}$?
To answer these questions, we can use the function { f(x) $}$ to input different values of { x $}$ and determine the corresponding prices.
To calculate the price of { x $}$ ounces of candy, we can input { x $}$ into the function { f(x) $}$. This gives us:
{ f(x) = ? $}$
To determine the value of { f(x) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(x) = \frac{x}{4} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(x) = \frac{x}{4} (1) = \frac{x}{4} $}$
This means that the price of { x $}$ ounces of candy is { \frac{x}{4} $}$.
To calculate the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$, we can input { x $}$ into the function { f(x) $}$. This gives us:
{ f(x) = ? $}$
To determine the value of { f(x) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(x) = \frac{x}{4} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(x) = \frac{x}{4} (1) = \frac{x}{4} $}$
This means that the price of { x $}$ ounces of candy is { \frac{x}{4} $}$.
To calculate the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$ and the price of 2 ounces of
A New Candy Store: Understanding the Price Function - Q&A
In our previous article, we explored the function { f(x) $}$ that gives the price, in dollars, of { x $}$ ounces of candy. We also analyzed the equation { f(4) = 1 $}$ and found that it tells us that it costs { 1 $}$ to buy 4 ounces of candy. In this article, we will answer some frequently asked questions about the function and the equation.
Q: What is the price of 1 ounce of candy?
A: To calculate the price of 1 ounce of candy, we can input { x = 1 $}$ into the function { f(x) $}$. This gives us:
{ f(1) = ? $}$
To determine the value of { f(1) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(1) = \frac{1}{4} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(1) = \frac{1}{4} (1) = \frac{1}{4} $}$
This means that the price of 1 ounce of candy is { \frac{1}{4} $}$.
Q: What is the price of 2 ounces of candy?
A: To calculate the price of 2 ounces of candy, we can input { x = 2 $}$ into the function { f(x) $}$. This gives us:
{ f(2) = ? $}$
To determine the value of { f(2) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(2) = \frac{1}{2} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(2) = \frac{1}{2} (1) = \frac{1}{2} $}$
This means that the price of 2 ounces of candy is { \frac{1}{2} $}$.
Q: What is the price of 3 ounces of candy?
A: To calculate the price of 3 ounces of candy, we can input { x = 3 $}$ into the function { f(x) $}$. This gives us:
{ f(3) = ? $}$
To determine the value of { f(3) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(3) = \frac{3}{4} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(3) = \frac{3}{4} (1) = \frac{3}{4} $}$
This means that the price of 3 ounces of candy is { \frac{3}{4} $}$.
Q: What is the price of { x $}$ ounces of candy?
A: To calculate the price of { x $}$ ounces of candy, we can input { x $}$ into the function { f(x) $}$. This gives us:
{ f(x) = ? $}$
To determine the value of { f(x) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(x) = \frac{x}{4} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(x) = \frac{x}{4} (1) = \frac{x}{4} $}$
This means that the price of { x $}$ ounces of candy is { \frac{x}{4} $}$.
Q: What is the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$?
A: To calculate the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$, we can input { x $}$ into the function { f(x) $}$. This gives us:
{ f(x) = ? $}$
To determine the value of { f(x) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(x) = \frac{x}{4} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(x) = \frac{x}{4} (1) = \frac{x}{4} $}$
This means that the price of { x $}$ ounces of candy is { \frac{x}{4} $}$.
Q: What is the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$ and the price of 2 ounces of candy is { q $}$?
A: To calculate the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$ and the price of 2 ounces of candy is { q $}$, we can input { x $}$ into the function { f(x) $}$. This gives us:
{ f(x) = ? $}$
To determine the value of { f(x) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(x) = \frac{x}{4} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(x) = \frac{x}{4} (1) = \frac{x}{4} $}$
This means that the price of { x $}$ ounces of candy is { \frac{x}{4} $}$.
In conclusion, we have answered some frequently asked questions about the function { f(x) $}$ and the equation { f(4) = 1 $}$. We have found that the price of 1 ounce of candy is { \frac{1}{4} $}$, the price of 2 ounces of candy is { \frac{1}{2} $}$, and the price of 3 ounces of candy is { \frac{3}{4} $}$. We have also found that the price of { x $}$ ounces of candy is { \frac{x}{4} $}$.
To further analyze the function { f(x) $}$, we can consider the following questions:
- What is the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$ and the price of 2 ounces of candy is { q $}$?
- What is the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$ and the price of 3 ounces of candy is { r $}$?
- What is the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$ and the price of 4 ounces of candy is { s $}$?
To answer these questions, we can use the function { f(x) $}$ to input different values of { x $}$ and determine the corresponding prices.
To calculate the price of { x $}$ ounces of candy if the price of 1 ounce of candy is { p $}$ and the price of 2 ounces of candy is { q $}$, we can input { x $}$ into the function { f(x) $}$. This gives us:
{ f(x) = ? $}$
To determine the value of { f(x) $}$, we can use the equation { f(4) = 1 $}$. Since the function is linear, we can write:
{ f(x) = \frac{x}{4} f(4) $}$
Substituting { f(4) = 1 $}$, we get:
{ f(x) = \frac{x}{4} (1) = \frac{x}{4} $}$
This means that the price of { x $}$ ounces of candy is { \frac{x}{4} $}$.
**Calculating the Price of { x $}$ Ounces of Candy if the Price of 1 Ounce of Candy