Question

What the question said below the table. “This table shows the distance traveled by a car and the car’s average speed on different days.”#1The multiple choice questions.“Given that the days are the independent variable, which dependent variable has a constant rate of change?”#2Second multiple choice question.“What is the constant rate of change?”

Answer 1

Answers:

Variable: distance

Rate of change: 165

Step-by-step explanation:

Since the difference between two consecutive days is 1, a dependent variable will have a constant rate of change if the difference between two consecutive values is the same.

For average speed, we get:

58 - 55 = 3

63- 58 = 5

65 - 63 = 2

68 - 65 = 3

For Distance, we get:

660 - 495 = 165

825 - 660 = 165

990 - 825 = 165

1155 - 990 = 165

Since the difference in distance is always 165, this dependent variable has a constant rate of change and the rate of change can be calculated as:

`\text{Rate of change = }(660-495)/(4-3)=(165)/(1)=165`

Where 495 and 660 are two distances and 3 and 4 are their respective days:

Therefore, the answers are:

variable: distance

rate of change: 165