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 answer

To determine the rate of change for each linear function, we can look at the coefficient of the x term.

For Linear Function 1 (y = 7x + 4), the rate of change is 7.

For Linear Function 2 (x, y) with the given points (10, 61) and (12, 73), we can calculate the rate of change:

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

Comparing the rates of change, we see that Linear Function 1 has a greater rate of change (7) than Linear Function 2 (6).

Therefore, the answer is 1. Linear Function 1 has the greater rate of change.