Answer:
Laps rum = 32
Step-by-step 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:
[tex]y-22=\dfrac{22-2}{15-45}(x-15)[/tex]
[tex]y-22=-\dfrac{2}{3}(x-15)[/tex]
[tex]y=-\dfrac{2}{3}x+32[/tex]
Total number of laps when x=0
So, put x=0 into equation
[tex]y=-\dfrac{2}{3}\cdot 0+32[/tex]
[tex]y=32[/tex]
Hence, Total number of lap Arsham ran 32
