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 equals 10 x y=0.1x y equals 0.1x y=8x y equals 8 x y=0.125x
To find 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 rates at which you ran on both days.
On Monday, you ran 4 miles in 40 minutes, which gives us a rate of 4 miles / 40 minutes = 0.1 miles/minute.
On Wednesday, you ran 2 miles in 16 minutes, which gives us a rate of 2 miles / 16 minutes = 0.125 miles/minute.
Since the rate on Wednesday (0.125 miles/minute) is higher than the rate on Monday (0.1 miles/minute), it means you ran the fastest on Wednesday.
Therefore, the correct equation is y = 0.125x, where y is the number of miles and x is the time in minutes for the day you ran the fastest for the week.
To determine the day you ran the fastest, you need to find the equation that represents the rate at which you ran. In other words, you need to calculate your speed in miles per minute for each day.
First, let's calculate the speed for Monday:
Speed = Distance / Time = 4 miles / 40 minutes = 0.1 miles per minute.
Now, let's calculate the speed for Wednesday:
Speed = Distance / Time = 2 miles / 16 minutes = 0.125 miles per minute.
Since you want to find the fastest day, you need to compare the speeds. The higher the speed, the faster you ran. In this case, we see that the speed on Wednesday is higher (0.125 miles per minute) compared to Monday (0.1 miles per minute).
Therefore, the equation that represents the day you ran the fastest is y = 0.125x, where y is the number of miles and x is the time in minutes on the day you ran the fastest.
To determine the equation, we need to find the rate of running in miles per minute for each day and then compare them to determine which day you ran the fastest.
On Monday, you ran 4 miles in 40 minutes. The rate of running can be found by dividing the number of miles by the time taken: rate = miles / minutes. In this case, the rate is 4 miles / 40 minutes = 0.1 miles per minute.
On Wednesday, you ran 2 miles in 16 minutes. The rate of running is 2 miles / 16 minutes = 0.125 miles per minute.
Comparing the rates, we can see that 0.125 miles per minute is the faster rate.
Therefore, the equation for the day you ran the fastest, where y is the number of miles and x is the time in minutes, would be y = 0.125x.