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.
To determine which linear function has the greater rate of change, we need to calculate the slope of each function.
The slope of Linear Function 1 (y = x + 8) is 1.
To find the slope of Linear Function 2, we can use the coordinates of the two plotted points: (2, 6) and (4, 10).
The change in y is 10 - 6 = 4 and the change in x is 4 - 2 = 2, so the slope is 4/2 = 2.
Since the slope of Linear Function 2 is greater than the slope of Linear Function 1, we can conclude that Linear Function 2 has the greater rate of change. Therefore, the answer is 2.