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 number of miles the car could have been driven is between blank and blank miles
The number of miles the car could have been driven is between 40,924.48 and 44,212.52 miles.
The number of miles the car could have been driven is between 40,899.96 and 44,237.04 miles.
To determine the range for the number of miles the car could have been driven, we need to calculate the lower and upper limits based on the accuracy of the odometer.
Step 1: Calculate the lower limit:
Lower limit = actual reading - (actual reading * accuracy)
Lower limit = 42,568.5 - (42,568.5 * 0.04)
Step 2: Calculate the upper limit:
Upper limit = actual reading + (actual reading * accuracy)
Upper limit = 42,568.5 + (42,568.5 * 0.04)
Step 3: Plug in the values to calculate the range:
Lower limit = 42,568.5 - (42,568.5 * 0.04) = 42,568.5 - 1,702.74 = 40,865.76 miles
Upper limit = 42,568.5 + (42,568.5 * 0.04) = 42,568.5 + 1,702.74 = 44,271.24 miles
Therefore, the range for the number of miles the car could have been driven is between 40,865.76 miles and 44,271.24 miles.