Question

Arsham is training for a race. After 15 minutes, he has 22 laps left to run. After 45 minutes he has 2 laps left. What is the total number of laps Arsham ran?

Answer 1

Arsham is training for a race. After 15 minutes, he has 22 laps left to run. After 45 minutes he has 2 laps left. What is the total number of laps Arsham ran?


*After 45 minutes has nothing to do with the question*

He basically runs all but 2 laps meaning he runs 20 laps.

Answer 2

Laps rum = 32

Explanation:

Arsham is training for a race.

After 15 minutes, he has 22 laps left to run (15,22)

After 45 minutes he has 2 laps left (45,2)

x-axis : represents number of minutes

y-axis : represents number of laps

Using two point formula:

`y-22=(22-2)/(15-45)(x-15)`

`y-22=-(2)/(3)(x-15)`

`y=-(2)/(3)x+32`

Total number of laps when x=0

So, put x=0 into equation

`y=-(2)/(3)\cdot 0+32`

`y=32`

Hence, Total number of lap Arsham ran 32