Question

The graph shows Ms. Padilla's monthly cell phone cost, where x is the number of minutes she uses the phone during the month.

Which statements are true? Select each correct answer.

options:

a. The x-intercept is meaningless here.
b. Ms. Padilla is charged $5/min.
c. Ms. Padilla is charged $0.04/min.
d. Ms. Padilla pays $16 for months she makes 0 min of calls.

Answer 1

True statements: a, c and d

Explanation:

The x-intercept of the line would be negative. As it is impossible to make a negative number of calls, the x-intercept is meaningless.

To find the amount that Ms Padilla is charged per minute, find the slope of the line by substituting the two given points into the slope formula:

`\implies \sf Slope=(Change\;in\;y)/(Change\;in\;x)=(21-16)/(125-0)=(5)/(125)=0.04`

Therefore, Ms Padilla is charged $0.04/min.

From inspection of the graph, the y-intercept is (0, 16).

Therefore, Ms Padilla pays $16 for the months she makes 0 minutes of calls.