Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change?
Linear Function 1: y=15x+8
Linear Function 2:
x, y
5, 26
13, 34
1. Linear Function 1 has the greater rate of change, with a rate of change equal to 8 while Linear Function 2 has a rate of change equal to 1.
2. Linear Function 1 has the greater rate of change, with a rate of change equal to 15 while Linear Function 2 has a rate of change equal to 1.
3. Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 15.
4. Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 8.
3. Linear Function 2 has the greater rate of change, with a rate of change equal to 21 while Linear Function 1 has a rate of change equal to 15.
To compare the rate of change of Linear Function 1 and Linear Function 2, we can calculate the slope of each function. The slope represents the rate of change in y with respect to x.
Linear Function 1: y = 15x + 8
The coefficient of x, in this case 15, represents the slope. Therefore, the rate of change for Linear Function 1 is 15.
Linear Function 2:
To calculate the slope of Linear Function 2, we can use the formula:
slope = (change in y) / (change in x)
Given the points (5, 26) and (13, 34), the change in y is 34 - 26 = 8, and the change in x is 13 - 5 = 8.
Therefore, the slope of Linear Function 2 is 8/8 = 1.
Comparing the slopes, we see that Linear Function 1 has a greater rate of change with a slope of 15, while Linear Function 2 has a slope of 1.
Therefore, the correct answer is:
2. Linear Function 1 has the greater rate of change, with a rate of change equal to 15 while Linear Function 2 has a rate of change equal to 1.