Question

Select the best interpretation of the slope.

group of answer choices
a. the number of cell phones is predicted to be 3 million when the number of main lines is 1 million.
b. the number of cell phones is predicted to increase by 1 million when the number of main lines increases by 3 million.
c. the number of cell phones is predicted to increase by 3 million when the number of main lines increases by 25 million.
d. the number of cell phones is predicted to be 3 million when the number of main lines is 0 million.
e. the number of cell phones is predicted to increase by 3 million when the number of main lines increases by 1 million.

Answer 1

The best interpretation of the slope is that for every increase of 1 million in the number of main lines, there is an increase of 3 million in the number of cell phones. Therefore, the correct option is that the number of cell phones is predicted to increase by 3 million when the number of main lines increases by 1 million.

Step-by-step explanation:

When interpreting the slope of a line in the context of a real-world problem, we consider how changes in the independent variable (x) affect changes in the dependent variable (y). In the scenario provided, where the relationship between cell phones and main lines is being assessed, we can ignore the parts about intercepts and demand equations for pizzas, as they are not relevant to this specific slope interpretation question.

The correct interpretation of the slope is as follows: For each increase by one unit in the independent variable (which could be the number of main lines in millions), the dependent variable (the number of cell phones in millions) changes by the value of the slope. Therefore, if the slope were 3, this would mean that for each increase of 1 million main lines, the number of cell phones would increase by 3 million.