Question

2. (15 points) Sheila needs to hire a babysitter for the evening. The babysitter charges $10 for each hour and also charges for the time she spends driving to and from the house. She thinks it will take 1.5 hours of total driving time. Sheila is willing to spend $80 for the night for babysitting.

A. Write an equation to determine for how many hours Sheila can afford to hire the babysitter.
Answer: 6,5 hours



B. Use the guess-and-check method to determine how many hours of babysitting Sheila can afford.
Answer: 10*+15=80







C. Sheila finds another babysitter that lives much closer to her and would only need 1 hour of driving time. However, she charges $15 per hour. Write an equation to determine how many hours of babysitting Sheila could buy from her.




D. Can Sheila afford the same amount of babysitting from the second sitter as she could from the first sitter?

Answer 1

C. To determine how many hours of babysitting Sheila could buy from the second sitter, we can set up an equation. Let's use "x" to represent the number of hours of babysitting Sheila can afford from the second sitter. The equation would be:

15x + 10(1.5) = 80

The left side of the equation represents the cost of babysitting, with $15 per hour from the second sitter and an additional $10 for the driving time of 1.5 hours. The right side of the equation represents Sheila's budget of $80. By solving this equation, we can find the value of "x," which will tell us how many hours of babysitting Sheila can afford from the second sitter.

D. To determine if Sheila can afford the same amount of babysitting from the second sitter as she could from the first sitter, we can compare the values of "x" from both situations.

If the value of "x" from the equation in Part C is greater than or equal to the number of hours Sheila could afford from the first sitter (which was 6.5 hours according to Part A), then she can afford the same or more babysitting from the second sitter. However, if the value of "x" is less than 6.5, then Sheila can afford less babysitting from the second sitter compared to the first sitter.

Explanation: