Question

Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours per week. In other words, total wages = fixed wages for 30 hours + additional wages at $5 per hour. Apply function notation to answer the following questions about Andrew’s wages. Part A Write a function that gives Andrew’s total wages when he works more than 30 hours. Use the variables w for wages and h for hours.

Answer 1

w = 120 + 5*(h-30)

Explanation:

Part A;

We are informed that Andrew is paid $4 per hour for the first 30 hours he works each week and makes $5 per hour for each hour he works over 30 hours per week. This implies that the $4 per hour for the first 30 hours is fixed while the $5 per hour overtime depends on the number of extra hours worked.

If we let w denote the wage and h denote the hours worked per week, then;

$4 per hour for the first 30 hours; 4*30 = 120

The number of extra hours worked would be; h-30

w = 120 + 5*(h-30)

This is the function that gives Andrew’s total wages when he works more than 30 hours each week.