Question

Joe’s dad works 45 hours per week. He receives a weekly salary of $850, plus a 3.5% commission on sales over $6,500. Given the functions f(x) = 0.035x and g(x) = x - 6,500 and the fact that Joe’s dad sold enough this week to earn commission, which composition function represents Joe’s dad’s commissions ? (Ques 26)

Answer 1

f(x) * g(x)

Explanation:

Hours worked per week = 45 hours

Weekly salary = $850 plus ;

3.5% commission on sales above $6,500

Given the functions :

f(x) = 0.035x and

g(x) = x - 6,500

and the fact that Joe’s dad sold enough this week to earn commission, which composition function represents Joe’s dad’s commissions ?

Commission = 3.5 / 100 = 0.035

Let his sales for the week = x ; since his sales exceeds 6,500

Hence, sales on which commission is payable is x - 6,500

Hence, commission for the week :

0.035 × (x - 6,500)

f(x) = 0.035 ; g(x) = (x - 6,500)

Composition function:

f(x) * g(x)