Question

ava is designing an exhibit of her paintings and has at most 153 square feet of wall space on which to display them. her small paintings take up 2 square feet each, and her larger paintings take up 20 square feet each. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of small paintings y = the number of large paintings

Explanation:

Step1: Calculate area of small paintings

The area taken up by small paintings is $2x$ (since each small painting takes 2 square - feet and there are $x$ of them).

Step2: Calculate area of large paintings

The area taken up by large paintings is $20y$ (since each large painting takes 20 square - feet and there are $y$ of them).

Step3: Set up the inequality

The total area of the paintings must be at most 153 square feet. So the inequality is $2x + 20y\leq153$.

Answer:

$2x + 20y\leq153$