The given situation involves a rate of change that you may assume to be constant. Write a statement that describes howone variable varies with respect to another, give the rate of change numerically (with units), and use the rate of changerule to answer the questions.
-You drive along the highway at a constant speed of 45 miles per hour. How far do you travel in 3.4 hours? In 6.5 hours? Write a statement that describes how one variable varies with respect to
Another.
A)Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 191.25 miles. In 6.5 hours, you travel 365.625
Miles.
B)Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 76.5 miles. In 6.5 hours, you travel 146.25 miles.
C)Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 153 miles. In 6.5 hours, you travel 292.5 miles.
D)Your distance traveled changes with respect to time at a rate of 45 miles per hour. The rate of change is 45 mi/hr. In 3.4 hours, you travel 114.75 miles. In 6.5 hours, you travel 219.375
Miles.

Question

Quizplus · Accepted Answer

The distance traveled is directly proportional to the time spent traveling at a constant speed. The formula to calculate distance is $ \text{distance} = \text{speed} \times \text{time} $. For 3.4 hours at 45 mph, the distance is $ 45 \times 3.4 = 153 $ miles. For 6.5 hours at 45 mph, the distance is $ 45 \times 6.5 = 292.5 $ miles.

The Given Situation Involves a Rate of Change That You