Yves is considering purchasing a pre-owned car. The car's odometer shows that it has been driven 42,568.5 miles. Yves has been told that odometers have an accuracy of plus or minus 4 percent. According to this information, what is the range for the number of miles the car could have been driven?
Use the drop-down arrows to choose the response that makes each statement true.
The range for the number of miles the car could have been driven is between 40,883.36 miles and 44,253.64 miles.
To find the range for the number of miles the car could have been driven, we need to calculate 4% of the odometer reading and subtract it from the reading and also add it to the reading.
Step 1: Calculate 4% of the odometer reading:
4% of 42,568.5 miles = 0.04 * 42,568.5 miles = 1702.74 miles
Step 2: Subtract and add the calculated value from/to the odometer reading to find the range:
Subtract: 42,568.5 miles - 1702.74 miles = 40,865.76 miles
Add: 42,568.5 miles + 1702.74 miles = 44,271.24 miles
So, the range for the number of miles the car could have been driven is between 40,865.76 miles and 44,271.24 miles.
To find the range for the number of miles the car could have been driven, we need to account for the plus or minus 4 percent accuracy of the odometer.
First, we calculate 4 percent of the given mileage by multiplying 42,568.5 miles by 0.04:
42,568.5 miles × 0.04 = 1,702.74 miles
Next, we find the minimum and maximum possible mileage:
Minimum mileage = 42,568.5 miles - 1,702.74 miles = 40,865.76 miles
Maximum mileage = 42,568.5 miles + 1,702.74 miles = 44,271.24 miles
Therefore, the range for the number of miles the car could have been driven is 40,865.76 miles to 44,271.24 miles.
Using the dropdown arrows, the correct response would be:
- Minimum mileage: 40,865.76 miles
- Maximum mileage: 44,271.24 miles