Question

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 . the number of tubes of paint catherine can buy is .

Answer 1

The inequality that represents the scenario is 54 - 20 > 8.50x, where x represents the number of tubes of paint Catherine can buy. The number of tubes of paint Catherine can buy is less than 4, so she can buy a maximum of 3 tubes of paint.

Step-by-step explanation:

The inequality that represents the scenario is 54 - 20 > 8.50x, where x represents the number of tubes of paint Catherine can buy. This inequality represents that the amount of money Catherine plans to spend on the painting canvas (54 - 20 = 34) should be greater than the cost of the tubes of paint (8.50x).

To find the number of tubes of paint Catherine can buy, we can solve this inequality by isolating x. First, subtract 20 from both sides of the inequality to get 34 > 8.50x. Then, divide both sides of the inequality by 8.50 to get 4 > x.

The number of tubes of paint Catherine can buy is less than 4. Since x represents a whole number, she can buy a maximum of 3 tubes of paint.