Question

12 A person's weekly take home pay includes a base salary of $379 plus 9% commission on

their weekly sales.

a) Declare a variable for weekly take home pay. Declare a variable for weekly sales.

Write a function expressing the weekly take home pay, in terms of the weekly sales.

b) If the weekly take home pay for a given week was $752. 77, what were the weekly

sales for that week?

Answer 1

Answer:

a) y = 379 + 0.09x

b) The weekly sale was $4153.

Step-by-step explanation:

Given that a person's weekly take-home pay includes a base salary of $379 plus 9% commission on  their weekly sales.

a) Now, if we represent $y as the weekly take-home pay and $x represents the weekly sales, then the equation models the situation will be

$y = 379 + \frac{9}{100}x$

y = 379 + 0.09x .......... (1) (Answer)

b) Now, if y = $752.77 (given) then from the equation (1) we get,

752.77 = 379 + 0.09x

⇒ 0.09x = 373.77

⇒ x = $4153.

Therefore, the weekly sale was $4153. (Answer)