I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.

(y = mx+b)

Question

Isabel Donovan

Mathematics

10 May, 20:09

I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.

(y = mx+b)

+1

Answers (1)

Know the Answer?

Tamia Schmitt · Answer 1

Answer: y = 3x + 60

Step-by-step explanation:

Set up two equations and solve the system:

270 = 70x + b

- (150 = 30x + b)

120 = 40x

3 = x

Input "x" into one of the equations and solve for "b":

150 = 30x + b

150 = 30 (3) + b

150 = 90 + b

60 = b

Equation: y = 3x + 60

This means that there is a flat fee of $60 plus a rate of $3 per student

I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.(y = mx+b)

I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.

(y = mx+b)