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
A: y=0.1x
B: y=8x
C: y=0.125x
D: y=10x
To determine the equation, we need to find the speed of each workout (in miles per minute) by dividing the distance by the time.
For Monday's workout, the speed is 4 miles / 40 minutes = 0.1 miles per minute.
For Wednesday's workout, the speed is 2 miles / 16 minutes = 0.125 miles per minute.
Since we are looking for the fastest workout, we need to find the equation for when the speed is the highest. Looking at the options:
A: y = 0.1x,
B: y = 8x,
C: y = 0.125x,
D: y = 10x.
We can see that option D: y = 10x represents the highest speed (10 miles per minute) and thus the fastest workout.
Therefore, the correct equation is D: y = 10x.
wrong
Apologies for the mistake. Let's calculate the speed for each workout:
For Monday's workout, the speed is 4 miles / 40 minutes = 0.1 miles per minute.
For Wednesday's workout, the speed is 2 miles / 16 minutes = 0.125 miles per minute.
Since we are looking for the fastest workout, we need to find the equation for when the speed is the highest. Looking at the options:
A: y = 0.1x,
B: y = 8x,
C: y = 0.125x,
D: y = 10x.
We can see that option C: y = 0.125x represents the highest speed (0.125 miles per minute) and thus the fastest workout.
Therefore, the correct equation is C: y = 0.125x.
To determine which equation represents the relationship between the distance (y) and time (x) for the day you ran the fastest during the week, we need to compare the rates at which you were running on Monday and Wednesday.
Let's calculate the rates for both days:
Rate on Monday = Distance / Time = 4 miles / 40 minutes = 0.1 miles/minute
Rate on Wednesday = Distance / Time = 2 miles / 16 minutes = 0.125 miles/minute
Since the rate on Wednesday is higher than the rate on Monday, it means you ran faster on Wednesday.
Thus, the equation that represents the relationship between distance (y) and time (x) for the day you ran the fastest is:
C: y = 0.125x
To determine the equation that represents the relationship between the number of miles ran (y) and the time in minutes (x) for the day you ran the fastest, we need to analyze the given data points.
On Monday, you ran 4 miles in 40 minutes, which means your pace was 1 mile per 10 minutes (40 divided by 4 equals 10).
On Wednesday, you ran 2 miles in 16 minutes, which also shows a pace of 1 mile per 8 minutes (16 divided by 2 equals 8).
Comparing the two paces, it is clear that your fastest pace occurred on Wednesday at 1 mile per 8 minutes. Therefore, the equation that represents this relationship is:
y = 0.125x
Thus, the correct answer is C: y=0.125x.