a. To find the constant of proportionality, we need to divide the distance by the time for each set of data and then find the average:
Average rate = (90/2 + 135/3 + 225/5 + 270/6)/4
= 22.5 + 45 + 45 + 45
= 157.5
Therefore, the constant of proportionality is 157.5.
b. The unit rate is simply the constant of proportionality, which is 157.5 miles per hour.
c. We can write the equation as:
d = 157.5t
where d is the distance in miles and t is the time in hours.
Time (hours) Distance (miles)
2 90
3 135
5 225
6 270
a. Find the constant of proportionality.
b. Use the constant of proportionality to write a unit rate for the data in the table.
c. Write an equation to represent the relationship between time, t, and distance, d.
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