You are training twice a week for a race on Monday you go 4 miles and 40 minutes then on Wednesday you go 2 miles and 16 minutes write an equation where why is a number of miles and X is the time and then it for the day you ran the fastest for the week Would the answer be why equals 0.1 X or Y equals 10 X or Y equals 8X or Y equals 0.125X
To find the equation that represents the relationship between the number of miles (Y) and the time (X), we can use the formula Y = M*X + B, where M is the slope and B is the y-intercept.
In this case, Y represents the number of miles and X represents the time. Let's consider the data provided:
- On Monday, you run 4 miles in 40 minutes.
- On Wednesday, you run 2 miles in 16 minutes.
To find the equation representing the fastest day of the week, where the slope will represent the speed, we need to find the average speed for each day. Speed is measured in miles per minute.
Average speed for Monday = 4 miles / 40 minutes = 0.1 miles per minute
Average speed for Wednesday = 2 miles / 16 minutes = 0.125 miles per minute
Since the fastest day is the one with the highest speed, it is the equation with the highest slope:
Y = 0.125X
Therefore, the correct answer is Y = 0.125X.