Question

100 POINTS

Roland must purchase plywood and two-by-fours for a construction project. Each sheet of plywood costs $12 and each two-by-four costs $2.50. Roland can spend at most $100, and he must purchase at least 4 sheets of plywood. Let x represent the number of sheets of plywood purchased. Let y represent the number of two-by-fours purchased.
Which inequalities are among the constraints for this situation? Select each correct answer.

y > 0

x+y≥100

12x+2.5y≤100

y≥4

x≥4

2.5x+12y≤100

Answer 1

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Answer 2

12x + 2.5y ≤ 100 and x ≥ 4

Explanation:

Given that $12 is the cost for each sheet of plywood.

Then x numbers of plywood sheet will cost $12x.

Again, each two-by-four costs $2.5.

Then y numbers of two-by-four will cost $2.5y.

Now, given that Roland must purchase at least 4 sheets of plywood.

If Roland can spend at most $100, then the inequality that is among the constrains for this situation is

12x + 2.5y ≤ 100 and x ≥ 4 (Answer)