Math

QuestionFind the total charge CC for a car rental with insurance, given C=S+IC = S + I where S=18.95+0.60MS = 18.95 + 0.60M and I=5.80+0.15MI = 5.80 + 0.15M.

Studdy Solution

STEP 1

Assumptions1. The standard charge is given by the function $=18.95+0.60 M$, where $M$ is the number of miles driven. . The insurance charge is given by the function =5.80+0.15M=5.80+0.15 M.
3. The total charge CC includes both the standard charge and the insurance charge.

STEP 2

We can express the total charge CC as the sum of the standard charge andtheinsurancecharge and the insurance charge .
C=+IC = + I

STEP 3

Now, we can substitute the given functions for and and into the equation for CC.
C=(18.95+0.60M)+(5.80+0.15M)C = (18.95+0.60 M) + (5.80+0.15 M)

STEP 4

We can simplify this equation by combining like terms.C=18.95+.80+0.60M+0.15MC =18.95 +.80 +0.60M +0.15M

STEP 5

Combine the constants and the terms with MM.
C=24.75+0.75MC =24.75 +0.75MSo, the total charge CC for a rental that includes insurance is given by the function C=24.75+0.75MC =24.75 +0.75M.

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