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.

Question

28-08-2022
Mathematics

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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.

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adioabiola adioabiola · Answer 1 · 2022-08-30T18:21:26+02:00

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 2000 to 2001, 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.