Question

The graph below shows the downloads of two songs over time. Which term describes the slope of the graph of song 2 between minute 14 and minute 15?

A. Negative
B. Zero
C. It is impossible to calculate
D. Positive

Answer 1

Answer:

B. Zero

Explanation:

Here the number of downloads between  minute 14 and minute 15 is 3000. The number does not increase or decrease so the slope is zero.

The slope of line between two points (x₁, y₁) and (x₂, y₂) is given by

$m=\frac{y_2-y_1}{x_2-x_1}$

Here,

$m=\frac{30-30}{15-14}\\\Rightarrow m=\frac{0}{1}=0$

The slope of a function is given by the differential of the function.