Question

The graph shows the distance, y, that a car traveled in x hours:

A graph is shown with x axis title as Time in hours. The title on the y axis is Distance Traveled in miles. The values on the x axis are from 0 to 5 in increments of 1 for each grid line. The values on the y axis are from 0 to175 in increments of 35 for each grid line. A line is shown connecting ordered pairs 1, 35 and 2, 70 and 3, 105 and 4, 140. The title of the graph is Rate of Travel.

What is the rate of change for the relationship represented in the graph?
fraction 1 over 35
fraction 1 over 34
34
35

Answer 1

Answer: 35

Step-by-step explanation:

The rate of change of a graph is given by :-

$k=\dfrac{\text{Change in y avlues}}{\text{Change in x values}}$

For points : (1, 35) and (2, 70)

The rate of change for the relationship in the graph is given by :-

$k=\dfrac{70-35}{2-1}=35$

Hence, the rate of change for the relationship represented in the graph = 35.

Answer 2

The rate of change of the relationship shown in the graph is 35 miles per hour.

Linear equation

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the elevator height after x seconds.

From the graph using points (0, 0) and (4, 140):

m = (140 - 0)/(4 - 0) = 35

The rate of change of the relationship shown in the graph is 35 miles per hour.

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