Question

4
select the correct answer from each drop - down menu.
catherine has $54. she plans to spend more than $20 of the money for a painting canvas. the rest will go toward paints. each tube of paint costs $8.50. assume that x represents the number of tubes of paint catherine can buy.
the inequality that best represents this scenario is 54 - 8.5x > 20
the number of tubes of paint catherine can buy is
options: at least 5, more than 4, less than 4, more than 5

Explanation:

Step1: Start with the inequality

We have the inequality \(54 - 8.5x>20\). First, we solve for \(x\). Subtract 54 from both sides:
\(- 8.5x>20 - 54\)
\(-8.5x>-34\)

Step2: Divide both sides by -8.5 (reverse inequality)

When dividing an inequality by a negative number, the inequality sign flips. So:
\(x <\frac{- 34}{-8.5}\)
\(x < 4\)

Answer:

less than 4