Question

Catie is starting a babysitting business. She spends $26 on flyers for advertising. She has an initial fee of $5 and then $3 per hour. How many hours will she have to work to make a profit?

Answer 1

Hi Citytennisace . I have a different answer than Zachary101234.

In this question, you're working to find the total profit Catie will make minus any expenses incurred. In this case advertising. To put it another way:

Total profit = Revenue - Exp.

Let us say profit is X. Rev is $5+$3 and Exp is $26

5 + 3X = 26
-- --
5 5
3X = 21
-- --
3 3
X = 7

The above is explained in detail below:

Now she only charges $5 for the first hour so:

Hour 1: $5+$3 = 8

She then charges $3 for each extra hour. To make things simple, you can subtract the cost for the initial hour from the adv. exp ($26-$5=$21) then divide the total by 3 ($21/3=7). This means that to break even, Catie has to work 7 hours. To make a profit, she must work 8.

Answer 2

26+5= 31 correct?
So lets make a chart(ish lol)

Hours $$$
1 3
2 6
3 9
4 12
5 15
6 18
7 21
8 24
9 27
10 30
11 33
To get atleast 31 dollars you need to work 11 hours.
If you want fractions they need to work 10 1/3 hours
Hope this helped!