Question

A restaurant owner is ordering new chef uniforms. Each uniform has a jacket and pants. The jackets cost $37.99 each, plus a one-time fee of $70.00 to add the restaurant's logo. The pants cost $27.99 each.

A. Write & simplify an expression for the total cost of n uniforms.
B. The restaurant owner can spend $550 for uniforms. Write an inequality to find the number of uniforms she can afford to buy.
C. Can the owner buy 8 uniforms? Explain your reasoning.
D. Suppose the restaurant owner decides not to have the logo put on the chef jackets. Does this decision change your answer to part c?

Answer 1

Answer: See each part below.

A: If you add the cost of the pants and jacket, you get $65.98 per set. Therefore, the equation will be y = 65.98x + 70, you have to add on the 70 because that is a one time fee.

B: To make the inequality, just add in that it must be less than 550.
550 > 65.98x + 70

C: No, if you plug in 8 for x it will be $597.84 which is more than $550.

D: Yes, if you subtract $70 from $597.84, you will be under $550.