Sure, let's solve the problem step by step.
The original price of the exercise machine is [tex]$910, and the discount rate is 10%.
### a. What is the discount amount?
1. Identify the original price: $[/tex]910
2. Identify the discount rate: 10% or 0.10 (as a decimal)
3. Calculate the discount amount:
The discount amount is calculated by multiplying the original price by the discount rate.
[tex]\[
\text{Discount Amount} = \text{Original Price} \times \text{Discount Rate}
\][/tex]
Plugging in the values:
[tex]\[
\text{Discount Amount} = 910 \times 0.10 = 91.0
\][/tex]
So, the discount amount is [tex]$91.0.
### b. What is the exercise machine's sale price?
1. Identify the original price: $[/tex]910
2. Calculate the sale price:
The sale price is calculated by subtracting the discount amount from the original price.
[tex]\[
\text{Sale Price} = \text{Original Price} - \text{Discount Amount}
\][/tex]
Plugging in the values:
[tex]\[
\text{Sale Price} = 910 - 91.0 = 819.0
\][/tex]
So, the sale price of the exercise machine is [tex]$819.0.
### Summary
a. The discount amount is $[/tex]91.0.
b. The sale price is $819.0.
