Kiere is choosing between two companies to produce school spirit shirts for her middle school.

Question

Company A has a flat shipping fee of $50 and costs $25 per shirt.
Company B has a flat shipping fee of $10 and costs $30 per shirt.
Which of the following inequalities represents the number of shirts, n
, that Kiere can order so that Company A is the cheaper option.

A. n>8
B. n<8
C. n>40
D. n<40

Answer 1

To determine which option is cheaper, we need to set up an inequality where the cost from Company A is less than the cost from Company B.

Let's define the total cost for Company A as C_A and the total cost for Company B as C_B.

C_A = 50 + 25n
C_B = 10 + 30n

We want C_A < C_B, so:

50 + 25n < 10 + 30n

Subtract 25n from both sides:

50 < 10 + 5n

Subtract 10 from both sides:

40 < 5n

Divide by 5:

8 < n

So, the inequality that represents the number of shirts Kiere can order so that Company A is the cheaper option is n > 8.

Therefore, the answer is:

A. n > 8