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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2. Linear Function 2 has the greater rate of change.
This can be determined by looking at the slope of each function. In Linear Function 1 (y=x+8), the slope is 1, meaning that for every 1 unit increase in x, there is a corresponding 1 unit increase in y. In Linear Function 2, however, the slope is 2, meaning that for every 1 unit increase in x, there is a corresponding 2 unit increase in y. Therefore, Linear Function 2 has the greater rate of change.