Question

1. higher order thinking kevins car can go 315 miles on one tank of gas. he used just under 40% of a full tank of gas to get to a sporting event, traveling at an average speed of 60 miles an hour. about how long did it take him to get there? how did you decide?

Explanation:

Step1: Calculate miles used

First, find 40% of 315 miles (since he used just under 40%, we can approximate with 40% for estimation).
$0.40 \times 315 = 126$ miles (approximate distance traveled).

Step2: Use speed formula to find time

The formula for time is $time = \frac{distance}{speed}$.
Given speed is 60 miles per hour, and distance is approximately 126 miles.
$time = \frac{126}{60} = 2.1$ hours. Since he used just under 40%, the time is just under 2.1 hours, so about 2 hours (or a bit more, but approximately 2 hours when estimating).

Answer:

About 2 hours (or approximately 2.1 hours when using 40% exactly; since it's just under 40%, a bit less than 2.1, so about 2 hours). The decision was made by first approximating the distance (40% of 315 miles) and then using the time - distance - speed relationship ($time=\frac{distance}{speed}$) to find the time.