Question

A line passes through the point (3, 10) and has an initial value of 16. Find the rate of change for the function.

a) 1.4
b) 2
c) 2.4
d) 2.6

Answer 1

To find the rate of change for the line, we calculate its slope using the given points. The slope is equal to -2, so the rate of change is -2.

Step-by-step explanation:

To find the rate of change for a line passing through the point (3, 10) with an initial value of 16, we need to determine the slope of the line.

The slope is calculated by taking the difference in the y-coordinates divided by the difference in the x-coordinates of two points on the line.

Let's choose the point (3, 10) and the initial point (0, 16). Using the slope formula, we have:

slope = (y2 - y1) / (x2 - x1)

slope = (10 - 16) / (3 - 0) = -2

The rate of change for the function represented by the line is -2.

Therefore, the correct answer is (b) 2.