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.
A: Explain how this real-life situation is a function. What are the function’s input, output, domain, and range?

B: How does the function notation in this example compare with the standard notation?

Answer 1

Answer:

If Andrew works for 30 for $4 he will have a total wage of 30×4=$120

And gets additional $5for every hr worked beyond 30hrs in that week

So he gets a total of 5(x-30)

So if he works for 40hrs he gets a total wage of

5(40-30)=50

120+50=$170

If he works for 50 hours he gets Total wage of

5(50-30)=100

120+100=$220