Question

A restaurant earns $10 for each hour worked up to 40 hours each week and 15 for each additional hour worked over 40 hours. If x represents the total number of hours the restaurant host work,which function,f(x), represent the total amount the restaurant host would earn if working for more than 40 hours

Answer 1

Answer:

$f(x) = 15x - 200$

Step-by-step explanation:

Given

$Earnings = \ 10$ per hour for 40 hours, weekly

$Additional\ Hour = \ 15$ per hour over 40 hours, weekly

Required

Determine f(x)

From the question, we have that

x represents hours worked

Earnings in 40 hours is: 40 * 10 = $400

Hours over 40 will be: x - 40

So, earnings during this time will be: (x - 40) * 15

Total earnings is:

$f(x) = 400 + (x - 40) * 15$

$f(x) = 400 + 15x - 600$

$f(x) = 15x - 600 + 400$

$f(x) = 15x - 200$