Question

This table shows the distance traveled by a car and the car’s average speed on different days. A three column table with six rows. The first column, Day, has the entries 3, 4, 5, 6, 7. The second column, Average Speed in miles per hour, has the entries, 55, 58, 63, 65, 68. The third column, Distance in miles, has the entries, 495, 660, 825, 990, 1,155. Given that the days are the independent variable, which dependent variable has a constant rate of change? What is the constant rate of change?

Answer 1

Answer:

I believe that number 1 is distance and 2 is 165

Step-by-step explanation:

I got it correct on edg2020

Answer 2

The Dependent variables are Average speed and Distance and the rate of change in distance is constant.

Day ____ Average Speed __ Distance

3 __________ 55 __________ 475

4 __________ 58 __________ 660

5 __________ 63 __________ 825

6 __________ 65 __________ 990

7 __________ 68 __________ 1155

The dependent variables are Average speed and Distance.

The rate of change is the change in the dependent variable per change in the independent variable.

Average speed :

The rate of change in speed for the different days is not constant.

Between Day 4 and 3 :

58 - 55 = 3

Between Day 5 and 4 :

63 - 58 = 5

Distance in miles :

Rate of change in distance for the different days is constant

Between Day 4 and 3 :

660 - 475 = 165

Between Day 5 and 4 :

825 - 660 = 165

Between Day 6 and 5 :

990 - 825= 165

Between Day 7 and 6 :

1155 - 990 = 165

Therefore, the rate of change in distance per day is 165 for days 3 to 7.

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