Given that the speedometer has a percent error of 10% and the actual speed of the car is 40 mph, we can calculate the possible readings on the speedometer.
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Calculate 10% of the actual speed: \[ 10% \text{ of } 40 \text{ mph} = 0.10 \times 40 = 4 \text{ mph} \]
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Determine the range of possible speeds:
- The speedometer could show a speed that is 10% higher than the actual speed: \[ 40 \text{ mph} + 4 \text{ mph} = 44 \text{ mph} \]
- It could also show a speed that is 10% lower than the actual speed: \[ 40 \text{ mph} - 4 \text{ mph} = 36 \text{ mph} \]
Thus, the speedometer is likely to show the speed is either 36 mph or 44 mph.
So the completed statement is:
The speedometer is likely to show the speed is either 36 mph or 44 mph.
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