Question

Maple grove wants to include two types of maple trees, the namesake of the city, for their parks. Two varieties of maple trees have been selected. One variety costs $75 per tree; the other more colorful variety costs $90 per tree. The tree budget must not exceed $70,000. Citizens want more of the colorful $90 trees than the others if possible.

Answer 1

75x+90y<=70,000 x<=y

Answer 2

`75x+90y\leq 70000`

`y\geq x` or
`x\leq y`

Explanation:

Given information is :

Two varieties of maple trees have been selected.

Let the first variety of trees be = x

Let the second colorful variety of trees be = y

One variety costs $75 per tree;
`75x`

The other more colorful variety costs $90 per tree;
`90y`

Given is - The tree budget must not exceed $70,000. This means the total cost of the trees should be less than or equal to 70000.

Thus, the equation forms:

`75x+90y\leq 70000`

Also given is - Citizens want more of the colorful $90 trees than the others if possible.

The equation will be :

`y\geq x` or
`x\leq y`