Question

Esther has a budget of $800 to spend on a sofa and matching set of pillows. The sofa itself costs $720 and each matching pillow costs $16. If p represents the number of matching pillows purchased along with the sofa, which of these inequalities shows the values of p which fit within Esther's budget? p≥5 p≤5 p≥8 p≤8

Answer 1

p<5

Explanation:

To answer this question, we need to write an equation that represents the total cost of the sofa and the pillows in terms of p. The total cost is 720 + 16p, since the sofa costs $720 and each pillow costs $16. We want this total cost to be less than or equal to Esther’s budget of $800, so we have:

720 + 16p ≤ 800

To solve for p, we subtract 720 from both sides and get:

16p ≤ 80

Then we divide both sides by 16 and get:

p ≤ 5

So the correct inequality is p≤5.

hope this helped :)