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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 minut...Question
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
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GPT 3.5
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.
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.
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