Question

Key Club hosted a fundraising event where the profit they made depends on the number of people. If 100 people attend they make $2500. If 80 people attend they make $1500.
like can someone help me please?

Answer 1

Answer:

The linear equation that represent this problem is $y=50x-2,500$

Step-by-step explanation:

Let

x -----> the number of people

y ----> the profit in dollars

we have

For x=100, y=2,500

and

For x=80, y=1,500

Find the slope m

we have

(80,1,500) and (100,2,500)

The slope is equal to

$m=(2,500-1,500)/(100-80)\\ \\m=50\frac{\ }{people}$

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=50$ and point (100,2,500)

substitute

$y-2,500=50(x-100)$ ----> equation in slope point form

Convert to slope intercept form

$y=50x-5,000+2,500$

$y=50x-2,500$