Question

I'd really appreciate the help on this question! I'll give the Brainliest!

Answer 1

We will first define variables

Let Mike be M and Beth be B.

First inequality is 25M + 15B ≥ 1975 an the second is  B≤ 4M

When we replace B in the first inequality we get

25M + 15*4M ≥ 1975 => 25M + 60M ≥ 1975 => 85M ≥ 1975 =>

M ≥ 1975/85 => M ≥ 23.23 => M= 24

When we replace value for M in the second inequality we get

B ≤ 4*24 => B ≤ 96

We will check   25 * 24 + 15 * 96 = 600 + 1440 = 2040$ ≥ 1975$

That is correct!

If we accept M= 23 then B≤ 92

We will check again 25*23 + 15*92 = 575 + 1380 = 1955$ ≤ 1975$

That is incorrect!

Good luck!!!

Answer 2

You set up first that it has to be greater than or equal to 1975. then you make 25x + 15y is what they are doing to get the money. then you make an inequality for 4y is less than or equal to x. then y is greater than or equal to 50. i couldnt go any farther then that and im sorry i hope this helps you get some where