Question

Rent-a-Bike supplies bikes to groups of people to cycle the countryside. They charge a daily rate of $150 for bikes for 20 people and $330 for 50 people.
(a) state the equation relating the number of people and the cost of the bikes. (Assume that there is a linear relationship)

(b) at the same rate, what would be the charge for a group of 30 people

Answer 1

Let y = daily rate

let x = number of people

let m = charge per person

let b = arbitrary cost

so, y=mx+b

150 = 20m + b

330 = 50m + b

30m = 180

m = 6

b = 30

so linear relationship : y = 6x+30

if x = 30

y = 180 + 30

y = 210

Answer 2

Sure, I jst got done learning this actually okay so let 150 be the daily rate and 20=X and 330 be rate and 50 be x so it should look like the following

y=330+50x

y=150X+20X      * Now solve using elimination