Four friends went to a festival where they each had to pay an entrance fee and buy tickets for each ride. They went on the table below, shows how much money each of them spent at the festival and the number of rides each went on. Find the rate of change between each of the friends. Make sure to write each rate of change as a unit rate.
To find the rate of change between each of the friends, we need to divide the change in money spent by the change in number of rides.
Friend A:
- Spent: $40
- Rides: 4
Rate of change = Change in money spent / Change in number of rides
Rate of change = ($40 - $0) / (4 - 0) = $40 / 4 = $10 per ride
Friend B:
- Spent: $60
- Rides: 5
Rate of change = Change in money spent / Change in number of rides
Rate of change = ($60 - $40) / (5 - 4) = $20 / 1 = $20 per ride
Friend C:
- Spent: $80
- Rides: 6
Rate of change = Change in money spent / Change in number of rides
Rate of change = ($80 - $60) / (6 - 5) = $20 / 1 = $20 per ride
Friend D:
- Spent: $120
- Rides: 8
Rate of change = Change in money spent / Change in number of rides
Rate of change = ($120 - $80) / (8 - 6) = $40 / 2 = $20 per ride
Therefore, the rate of change between each of the friends is as follows:
- Friend A: $10 per ride
- Friend B: $20 per ride
- Friend C: $20 per ride
- Friend D: $20 per ride