Question

The cheerleaders want to raise money to go to camp, so they decide to sell spirit ribbons. They will earn 50¢ for each ribbon that they sell. However, they have to purchase the ribbons first for a total cost of $75. Use the table below to figure their total profit from selling ribbons.
What is the total profit after selling 0 ribbons?

Answer 1

Using a linear function, we have that:

• The rule is P(x) = 0.5x - 75.

• The total profit after selling 0 ribbons is of -$0.75.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, when x increases by 10, the profit increases by 5, hence the slope is:

m = 5/10 = 0.5.

Then:

P(x) = 0.5x + b.

When x = 10, P(x) = -70, hence:

-70 = 0.5(10) + b

b = -75.

Hence:

• The rule is P(x) = 0.5x - 75.

• The total profit after selling 0 ribbons is of -$0.75.

More can be learned about linear functions at brainly.com/question/24808124

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