You are training twice a week for a race. On Monday you go 4 miles in 40 minutes. Then on Wednesday you go 2 miles in 16 minutes write an equation where y is the number of miles and x is the time in minutes for the day you ran the fastest for the week
A. Y=10x
B.y = 8x
C. Y=0.125x
D. Y=0.1x
To determine the equation where y is the number of miles and x is the time in minutes for the day you ran the fastest for the week, we need to find the fastest time among the two running sessions.
From the given data:
- On Monday, you ran 4 miles in 40 minutes, which gives us a speed of 4 miles/40 minutes = 0.1 miles per minute.
- On Wednesday, you ran 2 miles in 16 minutes, which gives us a speed of 2 miles/16 minutes = 0.125 miles per minute.
Since 0.125 > 0.1, it means that you ran faster on Wednesday. Hence, the equation for the day you ran the fastest is:
C. Y=0.125x
To determine which day you ran the fastest for the week, we need to compare the rates at which you ran on each day. We can calculate the rate by dividing the number of miles by the time in minutes.
On Monday, you ran 4 miles in 40 minutes, so the rate can be calculated as 4 miles / 40 minutes = 0.1 miles/minute.
On Wednesday, you ran 2 miles in 16 minutes, so the rate can be calculated as 2 miles / 16 minutes = 0.125 miles/minute.
Therefore, the equation that represents the miles (y) in terms of time (x) for the day you ran the fastest for the week is:
C. y = 0.125x
To determine which equation represents the relationship between the number of miles (y) and the time in minutes (x) for the day you ran the fastest during the week, we need to compare the given data.
On Monday, you ran 4 miles in 40 minutes.
On Wednesday, you ran 2 miles in 16 minutes.
To find the fastest day, we need to compare the speed at which you ran on both days. We can calculate the pace (miles per minute) for each day by dividing the distance by the time:
On Monday: Pace = 4 miles / 40 minutes = 0.1 miles/minute.
On Wednesday: Pace = 2 miles / 16 minutes = 0.125 miles/minute.
The pace on Wednesday is faster since you covered more distance in the same amount of time compared to Monday.
Therefore, the equation that represents the relationship between the number of miles (y) and the time in minutes (x) for the day you ran the fastest during the week is:
C. y = 0.125x