Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the table to answer the following questions.

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

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

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

1. 45

2. 45/1

3. 45t=d

Step-by-step explanation:

1. You have to divide 90 by 2 to find the distance the vehicle is going per hour. And 90 divided by 2 is 45, so the vehicle is going 45 miles per hour. So the constant of proportionality is 45.

2. The unit rate is just a fraction with the constant of proportionality as the numerator, and the denominator is "1". So the unit rate for this problem is 45/1.

3. Since the vehicle is going 45 mph, you have to multiply the time by 45. Let us say the vehicle travels for 10 hours. When you multiply 45 by 10, the product would be 450. So if the vehicle travels for 10 hours, the car would have traveled 450 miles. The equation would be 45t=d.