Question

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.

Can you please do step by step showing us how you got the answers?

Answer 1

1. Time (hours): 1 Distance (miles): 45

2. 1;45

2;90

3;135

4;180

5;225

6;270

3. (c= constant of proportionality)

c=
`(distance)/(time)`

c=
`(90 miles)/(2 hours)`

c= 45 miles per hour

Explanation:

So you may see for each hour they are going 45 miles by dividing 2 by 2 and 90 by 2, so there constant of proportionality is 45 miles per hour. (answer 3 is the step by step)