Question

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

A graph is shown with the 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 to 375 in increments of 75 for each grid line. A line is shown connecting ordered pairs 1, 75 and 2, 150 and 3, 225 and 4, 300. The title of the graph is Rate of Travel.


What is the rate of change for the relationship represented in the graph? (1 point)

A) fraction 1 over 150
B) fraction 1 over 75
C) 75
D) 150

Answer 1

it's 75 i took the test

Step-by-step explanation:

Answer 2

Answer: C) 75

The speed of the car is 75 mph

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Step-by-step explanation:

The four given points on the diagonal line are:

• (1,75)
• (2,150)
• (3,225)
• (4,300)

Pick any two points from that list of four. I'll pick the first two points. The coordinates are then plugged into the slope formula below

m = (y2-y1)/(x2-x1)

m = (150-75)/(2-1)

m = 75/1

m = 75 so the answer is choice C

The rate of change of 75 means that each time x goes up by 1, y increases by 75.

For each hour that passes, the car has traveled 75 miles. Therefore, the rate of change is 75 miles per hour.

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Note how,

• slope = rise/run = (change in y)/(change in x)
• change in y = change in distance
• change in x = change in time
• speed = (change in distance)/(change in time)

In short, the slope represents the speed of the car. If the line remains the same slope, then the speed is constant.