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 a is the time in minutes for the day you ran the fastest for the week. (1 point)
• у = 8х
• y = 0.125х
• y = 0.1х
• y = 10х
None of the given equation options accurately represent the scenario described.
To find the day with the fastest time, we can calculate the average speed (in miles per minute) for each day and compare them.
On Monday: average speed = 4 miles / 40 minutes = 0.1 miles per minute.
On Wednesday: average speed = 2 miles / 16 minutes = 0.125 miles per minute.
Since Wednesday had the higher average speed, we can say that y (the number of miles) is equal to x (the time in minutes) multiplied by the rate of 0.125 miles per minute. Therefore, the correct equation is:
y = 0.125x