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.(1 point)
Responses
y=10x
y=0.125x
y=8x
y=0.1x
The correct equation is:
y = 0.125x
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 compare the speeds of Monday and Wednesday.
On Monday, you ran 4 miles in 40 minutes. The speed can be calculated by dividing the distance by the time: 4 miles / 40 minutes = 0.1 miles per minute.
On Wednesday, you ran 2 miles in 16 minutes. Again, calculating the speed: 2 miles / 16 minutes = 0.125 miles per minute.
Since we are looking for the fastest day, we need to find the larger speed. In this case, Wednesday had the larger speed.
Therefore, the equation for the day you ran the fastest for the week would be:
y = 0.125x
To determine the equation where y represents the number of miles and x represents the time in minutes for the day you ran the fastest for the week, we need to compare the speeds (distance/time) of both running sessions.
On Monday, you ran 4 miles in 40 minutes. To find your speed, we can divide the distance (4 miles) by the time (40 minutes):
Speed (Monday) = Distance / Time
Speed (Monday) = 4 miles / 40 minutes
Speed (Monday) = 0.1 miles per minute
On Wednesday, you ran 2 miles in 16 minutes. Again, we calculate the speed:
Speed (Wednesday) = Distance / Time
Speed (Wednesday) = 2 miles / 16 minutes
Speed (Wednesday) = 0.125 miles per minute
Since you want to find the equation for the day you ran the fastest, we see that the speed on Wednesday (0.125 miles per minute) is faster than the speed on Monday (0.1 miles per minute).
Therefore, the equation where y represents the number of miles and x represents the time in minutes for the day you ran the fastest for the week is:
y = 0.125x