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
Answer:
absolute value is the number itself regardless if it is negative or positive
Answer:
220 m
Step-by-step explanation:
since it takes him 22 min, and each min he travels 100 m, you just have to multiply 22 by 100
22 x 100 = 220
Answer:
4-3=1
Step-by-step explanation:
it was dilated by 1
dunno what this was really askin tho
Answer: Yes, y does vary directly with x.
Constant of variation = 1/4
The function rule is y = (1/4)x
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Explanation:
Let's assume that y does vary directly with x.
If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.
Solving for k gets us k = y/x
For each row, divide the y value over the x value
- row one: k = y/x = 14/56 = 0.25
- row two: k = y/x = 20/80 = 0.25
- row three: k = y/x = 22/88 = 0.25
Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.
So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x
