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?

Question

Mathematics

Bryan Williams

23 May, 11:44

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?

+2

Answers (1)

Know the Answer?

Eliza Sanders · 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.