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?

Accepted Solution

Answer:The linear equation that represent this problem is [tex]y=50x-2,500[/tex]Step-by-step explanation:Letx -----> the number of peopley ----> the profit in dollarswe haveFor x=100, y=2,500andFor x=80, y=1,500Find the slope mwe have(80,1,500) and (100,2,500)The slope is equal to[tex]m=(2,500-1,500)/(100-80)\\ \\m=50\frac{\$}{people}[/tex]Find the equation of the line into point slope form[tex]y-y1=m(x-x1)[/tex]we have[tex]m=50[/tex] and point (100,2,500)substitute[tex]y-2,500=50(x-100)[/tex] ----> equation in slope point formConvert to slope intercept form[tex]y=50x-5,000+2,500[/tex][tex]y=50x-2,500[/tex]