Question

The graph of the sales of a new product at a candy store, where x is time in months and y is number sold in hundreds, goes through the points (4, 2) and (6, 8). What is the rate of change.

in candies sold per month?
A 200
B 300
C 400
D 600

Answer 1

The rate of change in candies sold per month can be found by finding the slope of the line that goes through the two points (4, 2) and (6, 8). The slope of a line can be found by using the formula:

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

Plugging in the values from the two points, we have:

slope = (8 - 2) / (6 - 4) = 6 / 2 = 3

So the rate of change in candies sold per month is 3. This means that the number of candies sold is increasing by 300 (3 * 100) per month. Therefore, the answer is B) 300.