Question

Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour. If she is asked to
start before 7 a.m., Jeri charges 1.5 times the regular amount. If she made $29.25
on a job that began at 5 am, how many hours did Jeri work?
h = the number of
hours
that Jeri worked
1.5(3h + 4.50) = 29.25
1.50 3
+ 1.5(4.50) = 29.25
4.5h + 6.75 =
I
6.75
4.5h =
- 6.75
22.5
22.5
4.5h
4.5
h=

Answer 1

Answer:

5 hours 22 minutes

Step-by-step explanation:

Let us represent the number of hours that Jeri worked as: h

Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour

= $4.50 + $3 × h

= $4.50 + 3h

If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.

= 1.5 × ($4.50 + 3h)

If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?

Hence, we have the final equation;

= 1.5 × ($4.50 + 3h) = $29.25

= 6.75 + 4.5h = 29.25

Collect like terms

= 4.5h = 29.25 - 6.75

4.5h = 22.5

h = 22.5/4.5

h = 5.3571428571

Approximately= 5.36 hours

1 hour = 60 minutes

0.36 hour =

60 × 0.36

= 21.6 minutes

Approximately ≈ 22 minutes

Therefore, Jeri worked for 5 hours 22 minutes