Dori filled her car with 26.5 gallons at the start of her trip. Upon arrival she

recorded her odometer mileage of 43,156 miles, but she realized she had

forgotten to get her beginning mileage. Knowing that her car gets an average

of 25 mpg, what is the best estimate of her beginning mileage?

4.2 * 10⁴ mi

Step-by-step explanation:

Given data

Average speed: 25 miles per gallon

Fuel: 26.5 gallons

The distance (d) traveled with this amount of fuel is:

26.5 gal * 25 mi/gal = 6.6 * 10² mi

The distance traveled is equal to the difference between the final reading of the odometer and the initial one.

d = final reading - initial reading

initial reading = final reading - d = 43,156 mi - 6.6 * 10² mi = 4.2 * 10⁴ mi

We can estimate that the initial reading of the odometer was around 4.2 * 10⁴ mi.

1726 miles.