Question

Hester sells televisions. She earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Hester sells 11 televisions with extended warranties, she earns $1,045. How much is the fixed amount Hester earns for each television?

A. $60
B. $85
C. $90
D. $95

Answer 1

By setting up and solving a linear equation, we find that the fixed amount Hester earns for each television, in addition to the extended warranty bonus, is $95.

Step-by-step explanation:

The student's question revolves around solving a linear equation to find the fixed amount that Hester earns for each television. With the information provided, we know that Hester earns $1,045 total from selling 11 televisions with extended warranties. The equation we can set up is 11 × (fixed amount + $25) = $1,045.

Let's call the fixed amount Hester earns per television x. The equation can be then represented as 11x + 11 × 25 = 1,045, and when we solve for x, we find that the fixed amount is $95.

Therefore, Option D, which is $95, is the correct choice for the fixed amount Hester earns for each television.