Question

Write and solve the inequality which can be used to determine x, the number of outfits Madeline can purchase while staying in budget. Write the inequality in the form of ax + b ≤ c.

Answer 1

To determine the number of outfits Madeline can purchase within a $56 budget, the inequality 14x ≤ 56 is used, where x represents the number of T-shirts she can buy at $14 each. Solving this, Madeline can purchase up to 4 T-shirts.

Step-by-step explanation:

To determine the number of outfits Madeline can purchase while staying within her budget, we must write and solve an inequality. Let x represent the number of T-shirts Madeline can buy at $14 each, within a budget constraint of $56. Therefore, the cost of the T-shirts Madeline buys is $14 times the number of T-shirts, which should be less than or equal to her budget of $56. This gives us the inequality:

14x ≤ 56

To solve for x, we divide both sides of the inequality by the cost per T-shirt, which is $14:

x ≤ ⅖

Therefore, Madeline can buy up to 4 T-shirts and still remain within her budget.