Slope as Unit Rate Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Inches and ranges from 0 to 5 in one unit increments. The y-axis is labeled centimeters and ranges from 0 to 12 in 1 unit increments. The graph is titled Centimeters per Inch. A line connects five points plotted on the graph. The coordinates of the labeled and plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 2.54 right parenthesis, left parenthesis 2 comma 5.08 right parenthesis, left parenthesis 3 comma 7.62 right parenthesis, and left parenthesis 4 comma 10.16 right parenthesis.
Use the graph to determine the number of centimeters in 1 inch.
(1 point)
There are
centimeters in 1 inch.
1 answer
The coordinates of the two points on the line are (0, 0) and (1, 2.54).
To find the slope, we use the formula: slope = (change in y)/(change in x).
The change in y = 2.54 - 0 = 2.54 centimeters.
The change in x = 1 - 0 = 1 inch.
Therefore, the slope = (2.54 centimeters)/(1 inch) = 2.54 centimeters/inch.
So, there are 2.54 centimeters in 1 inch.