It is estimated that a months from now, the number (in thousands) of out-of-state cars on a ferry system will be given by the function N(x) = - 2x² + 8x. A) Find a simplified expression for the rate at which the number of out-of-state vehicles will be changing with respect to time x months from now. The rate of change expression is N'(x) = = B) What is the exact rate of change of the number of out-of-state vehicles 1 month(s) from now?
It is estimated that a months from now, the number (in thousands) of out-of-state cars on a ferry system will be given by the function N(x) = - 2x² + 8x. A) Find a simplified expression for the rate at which the number of out-of-state vehicles will be changing with respect to time x months from now. The rate of change expression is N'(x) = = B) What is the exact rate of change of the number of out-of-state vehicles 1 month(s) from now?
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
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Transcribed Image Text:It is estimated that a months from now, the number (in thousands) of out-of-state cars on a ferry system
will be given by the function N(x) = 2x² + 8x.
A) Find a simplified expression for the rate at which the number of out-of-state vehicles will be changing
with respect to time x months from now.
The rate of change expression is N'(x) =
=
B) What is the exact rate of change of the number of out-of-state vehicles 1 month(s) from now?
The rate of change is
thousand cars per month. (Your answer may be negative.)
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