When variable A rises by 10 units,variable B rises by 15 units.The slope of the line describing this relationship is

Question

Quizplus · Accepted Answer

The slope of the line is defined as the change in the y-variable (B) over the change in the x-variable (A), or:

slope = ΔB / ΔA

Given that when A rises by 10 units, B rises by 15 units, we have:

ΔA = 10 and ΔB = 15

Thus, the slope is:

slope = ΔB / ΔA = 15 / 10 = 1.5 or 3/2

However, the slope can also be expressed as a ratio of integers, which allows us to switch the order of the variables:

slope = ΔB / ΔA = (15/5) / (10/5) = 3/2

So, depending on which variable goes on which axis of the graph, the slope can be either 1.5 or 3/2, which are equivalent to 1.5 or 2/3. Therefore, the best choice is B.

When Variable a Rises by 10 Units,variable B Rises by 15