Question

Assume that between 2007 and​ 2010, 'messaging' became increasingly popular. The number of messages​ (in thousands) reported by a microblogging company can be modeled by T(x)=16,879x-119,921​, where x is the number of years after 2000.
a. What is the slope of the graph of this​ function?
b. Interpret the slope as a rate of change.
A. From 2007 to​ 2010, the number of messages decreased by 16,879 thousand per year.

B. From 2007 to​ 2010, the number of messages decreased by 119,921 thousand per year.

C. From 2007 to​ 2010, the number of messages increased by 16,879 thousand per year.

D. From 2007 to​ 2010, the number of messages increased by 119,921 thousand per year.

Answer 1

The slope of the graph of this function by comparison with the slope-intercept equation of a straight line; as in the task content can be determined as; 16,879.

The interpretation of the slope as a rate of change is that from 2007 to 2008, the number of messages increased by 16,879.

What is slope?

The slope of a relation, most particularly a linear relationship is the rate of change of its dependent variable with respect to its independent variable.

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