Question

Kathy babysits for $7.25 an hour plus $5.75 in transport cost Jared babysit seven $7.50an hour plus $3.25 and transportation cost after how many hours is Jared the most expensive sitter?

Answer 1

After 10 hours, Jared is the most expensive sitter

Step-by-step explanation:

Given that Kathy babysits for $7.25 an hour, plus $5.75 in transport cost, and

Jared babysits $7.50 an hour, plus $3.25 in transport cost.

We want to know after how many hours is Jared the most expensive sitter.

In an equation form, we write the cost of babysitting for x hours for

Kathy as: 7.25x + 5.75

Jared as 7.50x + 3.25

We want to know at what value of x is

7.50x + 3.25 > 7.25x + 5.75

Solving for x in the above inequality

Subract 7.25x from both sides:

7.50x + 3.25 - 7.25x > 5.75

0.25x + 3.25 > 5.75

Subtract 3.25 from both sides

0.25x > 5.75 - 3.25

0.25x > 2.5

Divide both sides by 0.25

x > 2.5/0.25 = 10

x > 10

Therefore, after 10 hours, Jared is the more expensive sitter.