Question

I rent a gym for $200.00 for 30 students. A year later I rent the gym for $330 for 70 students.

Answer 1

let X be number of students

and y be total cost

when 30 students (30,X)where at the gym it's costs 200 (y,200)

=that is (X,y)=(30,200)

when 70 students where at the gym

=(X,y)= (70,330)

now we find the slope

M=y2-y1/x2-x1

= 330-200/70-30

= 100/40

= 2.5=3

now

Y=Mx+b

Y=2x+b

we need to find the value of b

so,we substrate for X and Y

X=30,200

200=2(30)+b

re-arrange

B+60=200

B=200-60

=140

y=2x+140

For the other questions, I can look at the equation I got. The y-intercept (b value) is $200. That means that we are adding $200 on to the price all the time. That's the price for the empty bus. The 2x means to multiply the number of people by two and add this to the $120. So each person is $2.

hope it's helpful

and please I really need brainliest, thanks