An exercise machine with an original price of $980 is on sale at 12% off. a. What is the discount amount? b. What is the exercise machine's sale price? a. discount amount = $ ...

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Example Problem: Finding Discount Amount and Sale Price

An exercise machine with an original price of $980 is on sale with a 12% discount. To find out how much you'll save and the final price you will pay, follow the steps below.

#### a. What is the discount amount?
To calculate the discount amount, multiply the original price by the discount rate.
\[ \text{Discount Amount} = \text{Original Price} \times \text{Discount Rate} \]

Here, the original price is $980 and the discount rate is 12% (or 0.12 when converted to a decimal).

\[ \text{Discount Amount} = 980 \times 0.12 \]

#### b. What is the exercise machine's sale price?
To determine the sale price, subtract the discount amount from the original price.
\[ \text{Sale Price} = \text{Original Price} - \text{Discount Amount} \]

First, we need to calculate the discount amount from the previous step and then subtract it from the original price:

\[ \text{Discount Amount} = 980 \times 0.12 = \$117.60 \]

Once we have the discount amount, the sale price can be found as follows:

\[ \text{Sale Price} = 980 - 117.60 = \$862.40 \]

### Solution:

#### a. Discount Amount: 
\[ \text{Discount Amount} = \$117.60 \]

#### b. Sale Price: 
\[ \text{Sale Price} = \$862.40 \]

By following these steps, you can easily determine the discount amount and sale price for any discounted item.
Transcribed Image Text:### Example Problem: Finding Discount Amount and Sale Price An exercise machine with an original price of $980 is on sale with a 12% discount. To find out how much you'll save and the final price you will pay, follow the steps below. #### a. What is the discount amount? To calculate the discount amount, multiply the original price by the discount rate. \[ \text{Discount Amount} = \text{Original Price} \times \text{Discount Rate} \] Here, the original price is $980 and the discount rate is 12% (or 0.12 when converted to a decimal). \[ \text{Discount Amount} = 980 \times 0.12 \] #### b. What is the exercise machine's sale price? To determine the sale price, subtract the discount amount from the original price. \[ \text{Sale Price} = \text{Original Price} - \text{Discount Amount} \] First, we need to calculate the discount amount from the previous step and then subtract it from the original price: \[ \text{Discount Amount} = 980 \times 0.12 = \$117.60 \] Once we have the discount amount, the sale price can be found as follows: \[ \text{Sale Price} = 980 - 117.60 = \$862.40 \] ### Solution: #### a. Discount Amount: \[ \text{Discount Amount} = \$117.60 \] #### b. Sale Price: \[ \text{Sale Price} = \$862.40 \] By following these steps, you can easily determine the discount amount and sale price for any discounted item.
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