Hello! I understand that the answer is 6, but do not know the equation to graph it. I would appreciate any help!

Question

I have to use Desmos to graph it.

You are making your weekly meal plans and are working with the following constraints: It costs $8 to go to out to dinner. It costs $5 to go out to lunch. You want to go out to dinner at least as many times as you go out to lunch. You can spend at most $42.

What is the greatest number of meals you can eat out?

3
4
5
6

Answer 1

If you go to lunch x times, then you also go to dinner at least that many times. So,

5x + 8x <= 42
13x <= 42
x <= 3.23

So, at most 3 lunches and 3 dinners, or 6 meals.

Answer 2

Thank you!