To find the day when you ran the fastest for the week, let's compare the average speed on Monday and Wednesday. Average speed is calculated by dividing the distance by the time taken.
On Monday:
Average speed = 4 miles / 40 minutes = 0.1 miles/minute
On Wednesday:
Average speed = 2 miles / 16 minutes = 0.125 miles/minute
Running faster means having a higher average speed. Therefore, we can compare the average speed equations for Monday (0.1x) and Wednesday (0.125x), where x represents the time in minutes.
0.125x > 0.1x
Simplifying the equation:
0.125x - 0.1x > 0
0.025x > 0
x > 0 / 0.025
x > 0
Since we know that x represents time in minutes, the equation is:
x > 0
This means that any positive value for x (time) will make Wednesday the faster day.
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
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