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.
Let's assume "x" represents the number of hours Sheila can afford to hire the babysitter.
The babysitter charges $10 per hour, so the cost for babysitting would be 10x.
The babysitter also charges for the driving time, which is estimated to be 1.5 hours in total. Let's assume the driving charge is "d" dollars per hour. Therefore, the driving cost would be 1.5d.
The total cost for the night would be the sum of the babysitting cost and driving cost, which should be less than or equal to $80.
Putting it all together, the equation would be:
10x + 1.5d ≤ 80
To write an equation to determine how many hours Sheila can afford to hire the babysitter, we need to consider both the hours of babysitting and the driving time costs.
Let's denote the number of hours of babysitting as "x". Since the babysitter charges $10 per hour of babysitting, the cost for the hours of babysitting alone would be 10x.
Now, let's consider the driving time costs. The babysitter estimates that the total driving time will be 1.5 hours. However, we need to consider both the time she spends driving to the house and the time she spends driving back from the house. So, the driving time costs would be 2 multiplied by the babysitter's hourly rate, which is $10. Therefore, the driving time costs would be 2 * 10 = $20.
Lastly, we need to make sure that the total cost, which includes both the cost of babysitting and driving time costs, does not exceed Sheila's budget of $80.
Putting it all together, we can write the equation:
10x + 20 ≤ 80
This equation represents the condition that the total cost (10x + 20) should not exceed Sheila's budget ($80).