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

f(w) = 120 + 5(30-h)

Explanation:

It is given that, Andrew gets paid $4 for first 30 hours of the week

So,

For first 30 hours, his wage will be:

4(30) = $120

Now, let w denote wages and h denote total number or hours he works in the week

So he will be paid $5 for h-30 hours

So the function will be

f(w) = 120 + 5(30-h)

Where $120 is the fixed income for first 30 hours and the second term is the wage of hours more than 30 at the rate of $5 per hour..