Answered

Total Cost
[tex]$
170
160
150
140
130
120
110
100
90
80
70
60
50
40
30
20
10

Number of Times Eating Out
1 2 3 4 5

1. If you go out four times during the week, how much money will you have spent in total for the week?

2. How many times can you go out if your maximum budget is $[/tex]330?



Answer :

Let's break down the problem step-by-step:

1. Determine the total cost for going out four times during the week:
- Start by understanding the cost per outing. We have a total final budget of [tex]$330 for 5 outings in a week. - To find the cost per outing: \(\text{Cost per outing} = \frac{\text{Total Budget}}{\text{Number of Outings}} = \frac{330}{5} = 66\) - So the cost per outing is $[/tex]66.

- If you go out four times during that week, the total cost would be:
[tex]\[\text{Total cost for 4 outings} = \text{Cost per outing} \times 4 = 66 \times 4 = \$264\][/tex]

2. Determine the maximum number of times you can go out within a budget of [tex]$330: - Knowing the cost per outing is $[/tex]66, you want to see how many times you can go out with a total budget of [tex]$330. - Maximum number of outings within the budget: \[\text{Max outings} = \frac{\text{Total Budget}}{\text{Cost per outing}} = \frac{330}{66} = 5 \text{ outings}\] So, the detailed answers are: - If you go out four times during the week, you will have spent a total of $[/tex]264 for the week.
- With your maximum budget of $330, you can go out 5 times.