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Luke and Caylee are selling hotdogs at the fair. They use the equation R(x)= -2x+200 to...

  1. Luke and Caylee are selling hotdogs at the fair. They use the equation R(x)= -2x+200 to determine how many hotdogs remain after x minutes of opening their stand.
    1. What does the rate of change represent in this problem? Interpret the answer in the context of the problem.

  1. Determine the y-intercept and interpret the meaning in context of the problem.

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Answer #1

a).the rate of change represent the slope, which is equal to - 2

interpretation:-

after opening their strand, with 1 minute increase in time the number of hotdogs will decrease by 2 unit.

in other words, after opening their strand , with 1 minute increase in time, 2 hotdogs are supposed to be sold.

b).the y intercept = 200

interpretation:-

after 0 minutes of opening their strand, that is before opening their strand..the number of hotdogs is 200.

in other words, they had opened their strand with 200 hotdogs.

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