Question

20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than

$42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequality.

Answer 1

(5, 8), (7, 1), (15, 3)

Explanation:

a) The variables are defined in the problem statement. The total expenditure must satisfy ...

2.00x +3.50y ≤ 42.00

b) Possible solutions include ...

(x, y) ∈ {(5, 8), (7, 1), (15, 3)}

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These were chosen by looking at the attached graph of the equation.