Question

A middle school band uses a company to manage its fundraisers. The company charges a fee of $260 per fundraiser for its services. For the first fundraiser of the year, the band is selling insulated cups with school logos on them for $10.50 each. The goal of the fundraiser is to raise at least $1000.00. The following inequality represents this situation, where c stands for the number of cups:

Answer 1

The number of cups (c) must be greater than or equal to 120 in order to reach the goal of raising at least $1000.00.

Step-by-step explanation:

The given inequality that represents the situation is:

10.50c - 260 ≥ 1000

To solve for c, we can start by adding 260 to both sides of the inequality:

10.50c ≥ 1000 + 260

Next, we can simplify:

10.50c ≥ 1260

Then, we divide both sides of the inequality by 10.50 to isolate c:

c ≥ 1260 / 10.50

Calculating the division:

c ≥ 120

Therefore, the number of cups (c) must be greater than or equal to 120 in order to reach the goal of raising at least $1000.00.

Answer 2

y=mx+b
y=goal
M=Cost of the cups
B= The fee
1000.00=-10.50c-260