Question

Hester sells televisions. She earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended warranty. If Hester sells 16 televisions with extended​ warranties, she earns $ 1 comma 200. How much is the fixed amount Hester earns for each​ television?

Answer 1

To find the fixed amount Hester earns for each television, we can use the information from Svetlana's tutoring example. In that example, the linear equation that represents the total amount Svetlana earns for each tutoring session is y = 25 + 15x, where y is the total amount and x is the number of hours of tutoring. In this case, we can replace y with $1200 (the total amount Hester earns for selling 16 televisions with extended warranties) and x with 16 (the number of televisions with extended warranties). Therefore, the fixed amount Hester earns for each television is $4.90.

Step-by-step explanation:

To find the fixed amount Hester earns for each television, we can use the information from Svetlana's tutoring example. In that example, the linear equation that represents the total amount Svetlana earns for each tutoring session is y = 25 + 15x, where y is the total amount and x is the number of hours of tutoring. In this case, we can replace y with $1200 (the total amount Hester earns for selling 16 televisions with extended warranties) and x with 16 (the number of televisions with extended warranties).

So, we have 1200 = 25 + 15(16). Simplifying the equation, we get 1200 = 25 + 240. Subtracting 25 from both sides, we get 1175 = 240. Dividing both sides by 240, we get 4.90.

Therefore, the fixed amount Hester earns for each television is $4.90.