Answer:
Hours inequality (solution set): 0 ≤ x ≤ 7
Cost inequality: $2 ≤ y ≤ $100
Explanation:
The babysitter charges $14 dollars per hour + bus fare
Price per hour = $14
Bus fare = $2
Mr. Tyler wants to spend no more than $100
Subtract the bus fare from the total amount, as that will not contribute to the babysitter's hours
$100 - $2 = $98
Divide by $14 per hour
$98 ÷ $14 = 7 hours
The maximum amount of time that Mr. Tyler could hire the babysitter for is 7 hours
This means that the hours cannot be greater than 7. It is given that x cannot be less than 0, because the babysitter cannot work negative hours.
0 ≤ x ≤ 7
This inequality shows that the Mr. Tyler will not have the babysitter work for less than 0 hours, or more than 7 hours. He will have to pay $2 minimum, or $100 max. Below is the inequality to represent this:
(y represents amount Mr. Tyler will pay)
$2 ≤ y ≤ $100
Hope this helps :)