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

1) Required equation
`m=5.5 h`

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

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+(45)/(60)\\h=3+0.75\\h=3.75`

In 1 hour she earn $5.50

In 3.75 hours she earn
`5.50*3.75=20.625`

Crystal earns $20.625 in 3 hours and 45 minutes.

Answer 2

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