It took a racecar driver 3 hours and 20 minutes to go 500 miles. What is the constant of proportionality that relates the number of miles traveled, y, to the time, x? ResponsesA 166.7 miles per hour166.7 miles per hourB 170.5 miles per hour170.5 miles per hourC 130 miles per hour130 miles per hourD 150 miles per hour
Question
It took a racecar driver 3 hours and 20 minutes to go 500 miles. What is the constant of proportionality that relates the number of miles traveled, y, to the time, x? ResponsesA 166.7 miles per hour166.7 miles per hourB 170.5 miles per hour170.5 miles per hourC 130 miles per hour130 miles per hourD 150 miles per hour
Solution
To find the constant of proportionality, we need to divide the total distance traveled by the total time taken.
First, we need to convert the time to the same unit. The time is given in hours and minutes, so we need to convert everything to hours.
3 hours is 3 hours.
20 minutes is 1/3 of an hour (since 60 minutes is 1 hour).
So, the total time is 3 + 1/3 = 3.33 hours.
Now, we divide the total distance by the total time:
500 miles / 3.33 hours = 150 miles per hour.
So, the constant of proportionality is 150 miles per hour.
Therefore, the answer is D, 150 miles per hour.
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