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.

Question

Linear Function 1: y=7x+4
Linear Function 2: 
x y
10 61
12 73

Linear Function____has the lesser rate of change.

Answer 1

To find the rate of change, we can calculate the slope of each linear function.

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

For Linear Function 2, we can calculate the slope using the two given points (10, 61) and (12, 73):
Slope = (73-61)/(12-10) = 12/2 = 6

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