A daycare employee earns $\$10.90$ per hour for the first $40$ hours he works in $1$ week. He is paid $1.5$ times that rate for each additional hour that he works. How much money does he earn working for $43$ hours in $1$ week?

Given:

Employee earns $10.90 per hour for the first 40 hours he works in 1 week.

He is paid 1.5 times that rate for each additional hour that he works.

To find:

How much money does he earn working for 43 hours in 1 week?

Solution:

Earning for first 40 hours = $10.90 per hour

Earning for additional hours after 40 hours = 1.5 × $10.90 per hour

                                                                        = $16.35 per hour

In 43 hours, 3 hours are additional after first 40 hours.

Earning for first 40 hours = 40 ×  $10.90

Earning for additional 3 hours = 3 ×  $16.35

Now,

Therefore, the total earnings for 43 hours in a week is $485.05.