Use the table to answer the following questions.

Time (hours) Distance (miles)
2 90
3 135
5 225
6 270
Find the constant of proportionality.

Use the constant of proportionality to write a unit rate for the data in the table.

Write an equation to represent the relationship between time, t, and distance, d.

1 answer

The constant of proportionality is 45, found by dividing the distance by the time for any pair of corresponding values (i.e. 90/2=45, 135/3=45, 225/5=45, 270/6=45).

The unit rate is 45 miles per hour.

The equation is d = 45t, where d represents the distance in miles and t represents the time in hours.