DIRECTIONS: Use This Information To Answer Parts A And B.A Store Is Selling All Toaster Ovens At $15%$ Off.Part A Write An Equation In The Form $y = K \cdot X$ To Represent The Sale Price $ Y Y Y [/tex] In Dollars Of
Introduction
When a store offers a discount on its products, it can be challenging to calculate the sale price. In this scenario, we are given that a store is selling all toaster ovens at a 15% discount. To find the sale price of a toaster oven, we need to understand how the discount affects the original price. In this article, we will create an equation to represent the sale price in dollars, denoted as y, in terms of the original price, denoted as x.
The Equation of Sale Price
The sale price of a toaster oven can be calculated by subtracting the discount from the original price. Since the discount is 15% of the original price, we can represent it as 0.15x, where x is the original price. To find the sale price, we subtract the discount from the original price:
y = x - 0.15x
Simplifying the equation, we get:
y = 0.85x
This equation represents the sale price y in terms of the original price x. The coefficient 0.85 indicates that 85% of the original price is the sale price.
Interpreting the Equation
The equation y = 0.85x tells us that the sale price is 85% of the original price. This means that if the original price of a toaster oven is $100, the sale price would be $85. Similarly, if the original price is $200, the sale price would be $170.
Example
Suppose the original price of a toaster oven is $150. To find the sale price, we can plug in the value of x into the equation:
y = 0.85x y = 0.85(150) y = 127.50
Therefore, the sale price of the toaster oven is $127.50.
Conclusion
In this article, we created an equation to represent the sale price of toaster ovens in terms of the original price. The equation y = 0.85x indicates that the sale price is 85% of the original price. By using this equation, we can easily calculate the sale price of a toaster oven given its original price.
Part B: Using the Equation to Answer Questions
Now that we have the equation y = 0.85x, we can use it to answer questions related to the sale price of toaster ovens.
Question 1: What is the sale price of a toaster oven if its original price is $120?
To find the sale price, we can plug in the value of x into the equation:
y = 0.85x y = 0.85(120) y = 102
Therefore, the sale price of the toaster oven is $102.
Question 2: If the original price of a toaster oven is $180, what is the sale price?
To find the sale price, we can plug in the value of x into the equation:
y = 0.85x y = 0.85(180) y = 153
Therefore, the sale price of the toaster oven is $153.
Question 3: What is the original price of a toaster oven if its sale price is $135?
To find the original price, we can rearrange the equation to solve for x:
x = y / 0.85 x = 135 / 0.85 x = 158.82
Therefore, the original price of the toaster oven is approximately $158.82.
Q&A: Sale Price of Toaster Ovens
In this article, we will answer some frequently asked questions related to the sale price of toaster ovens. We will use the equation y = 0.85x to calculate the sale price and original price of toaster ovens.
Q1: What is the sale price of a toaster oven if its original price is $100?
A1: To find the sale price, we can plug in the value of x into the equation:
y = 0.85x y = 0.85(100) y = 85
Therefore, the sale price of the toaster oven is $85.
Q2: If the original price of a toaster oven is $250, what is the sale price?
A2: To find the sale price, we can plug in the value of x into the equation:
y = 0.85x y = 0.85(250) y = 212.50
Therefore, the sale price of the toaster oven is $212.50.
Q3: What is the original price of a toaster oven if its sale price is $120?
A3: To find the original price, we can rearrange the equation to solve for x:
x = y / 0.85 x = 120 / 0.85 x = 141.18
Therefore, the original price of the toaster oven is approximately $141.18.
Q4: If the sale price of a toaster oven is $180, what is the discount amount?
A4: To find the discount amount, we can subtract the sale price from the original price. First, we need to find the original price:
x = y / 0.85 x = 180 / 0.85 x = 211.76
Now, we can find the discount amount:
Discount = Original Price - Sale Price Discount = 211.76 - 180 Discount = 31.76
Therefore, the discount amount is $31.76.
Q5: What is the percentage of the original price that is the sale price?
A5: To find the percentage, we can divide the sale price by the original price and multiply by 100:
Percentage = (Sale Price / Original Price) x 100 Percentage = (0.85x / x) x 100 Percentage = 85%
Therefore, the sale price is 85% of the original price.
Q6: If the original price of a toaster oven is $300, what is the sale price after a 15% discount?
A6: To find the sale price, we can plug in the value of x into the equation:
y = 0.85x y = 0.85(300) y = 255
Therefore, the sale price of the toaster oven is $255.
Q7: What is the original price of a toaster oven if its sale price is $90?
A7: To find the original price, we can rearrange the equation to solve for x:
x = y / 0.85 x = 90 / 0.85 x = 105.88
Therefore, the original price of the toaster oven is approximately $105.88.
By using the equation y = 0.85x, we can easily calculate the sale price and original price of toaster ovens. We can also use this equation to answer various questions related to the sale price of toaster ovens.