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QuestionFind the cost in 2014 using the model C=2.85n+30.52C=2.85n+30.52, where nn is the years since 1990.

Studdy Solution

STEP 1

Assumptions1. The model for cost is given by the equation C=.85n+30.52C=.85n+30.52 . 'C' represents cost3. 'n' represents the number of years since19904. The numbers.85 and30.52 are coefficients in the equation

STEP 2

To find the cost in2014, we first need to calculate the value of 'n'. 'n' represents the number of years since1990.n=Year−1990n = Year -1990

STEP 3

Substitute the given year (201) into the equation to find 'n'.
n=201−1990n =201 -1990

STEP 4

Calculate the value of 'n'.
n=2014−1990=24n =2014 -1990 =24

STEP 5

Now that we have the value of 'n', we can substitute it into the model equation to find the cost 'C'.
C=2.85n+30.52C =2.85n +30.52

STEP 6

Substitute the value of 'n' into the equation to find 'C'.
C=2.85(24)+30.52C =2.85(24) +30.52

STEP 7

Calculate the cost 'C'.
C=2.85(24)+30.52=98.52C =2.85(24) +30.52 =98.52The cost in2014 is $98.52.

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