Question

A community recreation center is having a fundraising event. They are selling products in which they will bring in $500. The entrance fee is $5.00 per person.

1. What equation gives the total cost per person y as a function of the number of people x, if everyone buys the same amount?

2. What’s the total cost if there are 100 people who buy the same amount?

Answer 1

Using linear function concepts, it is found that:

• 1. The equation is: y = 500 + 5x.

• 2. The total cost would be of $1000.

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.

Item 1:

The fixed price of $500 is the y-intercept, while the entrance fee of $5.00 is the slope, hence, the equation is:

y = 500 + 5x.

Item 2:

100 people means that x = 100, hence, the total cost would be of:

y = 500 + 5(100) = $1,000.

More can be learned about linear function concepts at https://brainly.com/question/24808124