Question

compare linear function 1 with linear function 2. which one has the greaterr rate of change?
linear function 1: y = 15x + 8
Linear function 2:
x / y
5 / 26
13/ 34

Answer 1

To determine which function has the greater rate of change, we can look at the coefficients of x in each linear function.

For linear function 1: y = 15x + 8, the coefficient of x is 15.

For linear function 2, we are given two points on the line: (5, 26) and (13, 34). Using the formula for finding the slope given two points, we get:
slope = (y2 - y1) / (x2 - x1) = (34 - 26) / (13 - 5) = 8 / 8 = 1

The rate of change is represented by the coefficient of x in the linear function, which indicates how much y will change for each unit increase in x.

Therefore, the rate of change of linear function 1 (15) is greater than the rate of change of linear function 2 (1).