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A car odometer showed $6,447.5$ miles at the end of a trip. How many miles did the odometer show at the beginning of the trip if the car was driven $428.3$ miles? An equation is $n + =$ . The odometer showed $\_$ miles at the beginning of the trip.

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Write a linear function: word problems

Full solution

Q. A car odometer showed

6,447.5

miles at the end of a trip. How many miles did the odometer show at the beginning of the trip if the car was driven

428.3

miles? An equation is

n + =

. The odometer showed

\_

miles at the beginning of the trip.

Identify equation: Step $1$ : Identify the equation to find the initial odometer reading. $\newline$ We know the final odometer reading and the miles driven. To find the initial reading, subtract the miles driven from the final reading. $\newline$ Calculation: $6447.5 - 428.3 = 6019.2$
Write equation: Step $2$ : Write the equation using the given format. $\newline$ The problem provides an incomplete equation: $n + =$ . $\newline$ We complete it as: $n + 428.3 = 6447.5$ , where $n$ is the initial odometer reading.

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