Question

Crystal earns $5.50 per hour mowing lawns.
• Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.
• How much does Crystal earn if she works 3 hours and 45 minutes?

Answer 1

 For this case, the first thing we must do is define a variable:
 h: number of hours worked.
 We now write the equation that models the problem:
 $m = 5.5h$
 So, for 3 hours and 45 minutes we have:
 $h = 3 + (45/60) h = 3.75$
 Remember that we have the following conversion:
 1 hour = 60 minutes
 Substituting values:
 $m = 5.5 * (3.75) m = 20,625$
 Answer:
 Crystal earns about:
 m = $ 20,625

Answer 2

Answer:

1) Required equation $m=5.5 h$

2)Crystal earns $20.625 in 3 hours and 45 minutes.

Step-by-step explanation:

Given : Crystal earns $5.50 per hour mowing lawns.

To find :

1)  Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.

It is given that Crystal earns $5.50 per hour mowing lawns.

Let m is the amount of money earned

and h is the number of hours spent

So, The equation form by the statement is

$m=5.5 h$

2) How much does Crystal earn if she works 3 hours and 45 minutes

1 hour=60 minutes

So, for 3 hours and 45 minutes

$h=3+\frac{45}{60}\\h=3+0.75\\h=3.75$

In 1 hour she earn $5.50

In 3.75 hours she earn $5.50\times3.75=20.625$

Crystal earns $20.625 in 3 hours and 45 minutes.