Patricia keeps apples in 3 bins and 2 crates in her store. Each bin can hold no more than 200 pounds. Each crate can hold no more than 50 pounds.

Question

Patricia keeps apples in 3 bins and 2 crates in her store. Each bin can hold no more than 200 pounds. Each crate can hold no more than 50 pounds. Which graph represents all of the possible weights, in pounds, of apples Patricia can keep in her store?

Answer 1

The max she can hold is :

B = Max weight a Bin can hold (200lb)

C = Max weight a Crate can hold (50lb)

W = possible weights

3*B + 2*C = 3*200 + 2*50 = 600 + 100 = 700 lbs

What do you mean by "which graph represents all of the possible weights?" You can graph an inequality, which would be the following Equation : 0 <= W <= 700

Or are you looking for a standard equation (none inequality) to show creativity? In which case you want an equation which has a Max of 700, and a Min of 0, either of which can be the limit (if there is one) at infinity... such as :

y = 700 / (2^|x|)

the vertical lines designate absolute values. It doesn't have to be 2, it can be any number that's greater than 1. Although this may not work since 0 can only be achieved at infinity...

OR

y = | 700*sin(x) |

the vertical lines designate absolute values. It doesn't have to be Sin, can be Cos.

Pick which formula you think the teacher will like best...