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.
To determine the number of centimeters in 1 inch, we need to find the slope of the line connecting the plotted points on the graph.
Using the coordinates provided, we can calculate the slope as follows:
Slope = Change in y / Change in x
The change in y between the first two points (0, 0) and (1, 2.54) is 2.54 - 0 = 2.54 centimeters.
The change in x between the first two points is 1 - 0 = 1 inch.
So, the slope between these two points is 2.54 centimeters per inch.
Therefore, there are 2.54 centimeters in 1 inch.
To determine the number of centimeters in 1 inch, we need to find the slope or the rate of change of the graphed line. The slope represents the ratio of the change in y (centimeters) to the change in x (inches).
The coordinates given in the question mentioned five points plotted on the graph: (0, 0), (1, 2.54), (2, 5.08), (3, 7.62), and (4, 10.16).
To find the slope, we can use any two points on the line. Let's choose the points (0, 0) and (1, 2.54).
For the two points, the change in y is 2.54 - 0 = 2.54 cm, and the change in x is 1 - 0 = 1 inch.
Therefore, the slope or rate of change is 2.54 cm/1 inch.
So, there are 2.54 centimeters in 1 inch.
To determine the number of centimeters in 1 inch, we need to find the slope of the line connecting the plotted points. The slope represents the rate of change between the x and y coordinates.
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.