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 point)
Responses
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.
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.
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.
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.
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.
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.
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.
Linear Function 2 has the greater rate of change, with a rate of change equal to 2.
To compare the rate of change of Linear Function 1 and Linear Function 2, we need to calculate the rate of change for each function.
Linear Function 1: y = 15x + 8
To find the rate of change, we can observe that the coefficient of x is 15. This means that for every 1 unit increase in x, the value of y increases by 15. Therefore, Linear Function 1 has a rate of change equal to 15.
Linear Function 2:
Given the data points (5, 26) and (13, 34), we can calculate the rate of change using the formula:
Rate of change = (change in y) / (change in x)
For Linear Function 2:
Change in y = 34 - 26 = 8
Change in x = 13 - 5 = 8
Rate of change = (8)/(8) = 1
Therefore, 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.
Hence, the correct response is: 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.