Answer:
x=3
Step-by-step explanation:
The slope is y=3x-2, or if you had to rewrite it, 3x-2 is the slope. The y intercept could be found using the previous formula, y=3x-2. If x were to be equal to 5 for example, you would have to multiply that by 3, then subtract it by 2, and you get your y intercept, which would equal 13 (THIS IS AN EXAMPLE).
Answer:
Alan: 200 m/min
Brian: 150 m/min
Step-by-step explanation:
Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.
To find : What are their rates, in meters per minute?
Solution :
Let n represent the number of laps that Alan completes in 9 minutes.
Then n-1 is the number of laps Brian completes.
45 seconds = 3/4 minutes.
The difference in their lap times in minutes per lap is

Solving the equation we get,








Neglecting n=-3
So, n=4
Then Alan's speed in m/min is



Brian completes 3 laps in that 9-minute time, so his rate is


Therefore, Alan: 200 m/min
Brian: 150 m/min