Functions Unit Test
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Question
Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change? Choose 1 for Linear Function 1; choose 2 for Linear Function 2.
Linear Function 1: y=x+8
Linear Function 2:
A coordinate plane shows the x-axis ranging from negative 2 to 6 in increments of 1 and the y-axis ranging from negative 2 to 12 in increments of 1. A line with arrows at both ends joins two plotted points. The coordinates of the plotted points are as follows: left parenthesis 2 comma 6 right parenthesis and left parenthesis 4 comma 10 right parenthesis.
(1 point)
Linear Function
has the greater rate of change.
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To compare the rate of change of linear functions, we can look at the slope of the line.
For Linear Function 1: y = x + 8, the slope is 1.
For Linear Function 2: The coordinates of the plotted points are (2, 6) and (4, 10). The slope can be calculated as (change in y)/(change in x) = (10-6)/(4-2) = 2/2 = 1.
Therefore, both Linear Function 1 and Linear Function 2 have the same rate of change.