Which of the following is a reasonable estimate for the number of miles Jenna drove in 5 hours?

A.
3 × 10^2 mi
B.
3 × 10^-2 mi
C.
3 × 10^3 mi
D.
3 × 10^-3 mi

1 answer

To estimate the number of miles Jenna drove in 5 hours, we need to consider a reasonable driving speed. A typical highway speed might be around 60 miles per hour.

If Jenna drove for 5 hours at that speed, we calculate the total miles driven:

\[ \text{Miles} = \text{Speed} \times \text{Time} = 60 \text{ miles/hour} \times 5 \text{ hours} = 300 \text{ miles} \]

Now, we can express 300 miles in scientific notation:

\[ 300 = 3 \times 10^2 \text{ miles} \]

Therefore, the reasonable estimate for the number of miles Jenna drove in 5 hours is:

A. \(3 \times 10^2 , \text{mi}\)