Answer:
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.