Question

Question

Compare Linear Function 1 with Linear Function 2. Which one has the lesser rate of change? Choose 1 for Linear Function 1; choose 2 for Linear Function 2.
Linear Function 1: y=7x+4

Linear Function 2:
x
y

10 61
12 73(1 point)

Answer 1

Linear Function 1: y=7x+4

The rate of change for Linear Function 1 is 7, as the coefficient of x is 7. Therefore, for every 1 unit increase in x, y increases by 7 units.

Linear Function 2:
x y
10 61
12 73

For Linear Function 2, the rate of change can be calculated as:

Rate of change = (Change in y) / (Change in x) = (73-61) / (12-10) = 12 / 2 = 6.

So, the rate of change for Linear Function 2 is 6, as the value of y increases by 6 units for every 1 unit increase in x.

Therefore, Linear Function 2 has a lesser rate of change compared to Linear Function 1. Choose 2 for Linear Function 2.