Final answer:
The range of possible speeds for a car speedometer with a 7% uncertainty at a reading of 100 km/h is between 93 km/h and 107 km/h. To convert the lower speed to miles per hour, we use the conversion factor 1 km = 0.6214 mi, which gives us 57.79 mi/h.
Step-by-step explanation:
If a car speedometer has a 7% uncertainty and it reads 100 km/h, we need to calculate the range of possible speeds to account for this uncertainty. This means that the actual speed can be 7% less or 7% more than 100 km/h. To find this range, we'll do the following calculations:
Lower range: 100 km/h - (7/100 × 100 km/h) = 93 km/h
Higher range: 100 km/h + (7/100 × 100 km/h) = 107 km/h
So the range of possible speeds is between 93 km/h and 107 km/h.
To convert this range to miles per hour, we use the conversion factor 1 km = 0.6214 mi. For the lowest possible speed: 93 km/h × 0.6214 mi/km = 57.79 mi/h (rounded to two decimal places).