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 as x is the time in minutes for the day you ran fastest for the week.
Responses:
Y = 0.1 x
Y= 10 x
Y= 0.125 x
Y = 8 x
None of the provided equations accurately represents the relationship between the number of miles and time. To find the equation, we can first calculate the rate at which the person is running in miles per minute for the two runs.
On Monday, the rate is 4 miles / 40 minutes = 0.1 miles per minute.
On Wednesday, the rate is 2 miles / 16 minutes = 0.125 miles per minute.
Now, since we are looking for the time (x) it took for the fastest run during the week, we need to find the higher rate between the two.
The higher rate is 0.125 miles per minute. Therefore, the correct equation is:
Y = 0.125x
The correct equation would be:
Y = 0.125x
This equation represents the relationship between the number of miles (Y) and the time in minutes (x), where the rate is 0.125 miles per minute.
To find the equation representing 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 can use the data given for Monday and Wednesday.
On Monday, you ran 4 miles in 40 minutes. This means that the rate at which you were running can be calculated by dividing the number of miles (4) by the time in minutes (40). So, the rate is 4/40 = 0.1 miles per minute.
On Wednesday, you ran 2 miles in 16 minutes. Using the same calculation, the rate is 2/16 = 0.125 miles per minute.
Since you are looking for the equation when you ran the fastest during the week, we need to identify the higher rate between the two days. In this case, the rate of 0.125 miles per minute on Wednesday is higher than 0.1 miles per minute on 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:
Y = 0.125x