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A. Interpret f(1400)=60B. What might have caused the graph to begin increasing at 800 text messages

A. Interpret f(1400)=60B. What might have caused the graph to begin increasing at-example-1

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The graph of cost vs number of text messages seem to have a flat fee for up to 800 messages (although the numbers are not specified in the x-axis).

A. f(1400) = 60 means that the cost of sending 1400 text messages is 60 dollars.

B. It seems to be a plan with 800 messages included for 30 dollars. For any additional message, there is a cost per message.

This cause the graph to increase with a constant rate. The slope of this line is the cost per additional message.

We can calculate the slope using the known points f(800)=30 and f(1400)=60:


m=(f(1400)-f(800))/(1400-800)=(60-30)/(1400-800)=(30)/(600)=0.05

The slope is m=0.05.

We can conclude that any additional message, above the 800 messages included, cost 0.05 dollars.

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