Question

A car is traveling down a highway at a constant speed, described by the equation

�
=
65
�
d=65t​, where
�
d​ represents the distance, in miles, that the car travels at this speed in
�
t​ hours.

a) What does the
65
65​ tell us in the situation?

Answer 1

Explanation:

In the equation d = 65t, the number 65 represents the constant speed at which the car is traveling. It tells us that for every hour of time that passes (t), the car will travel a distance of 65 miles (d).

To better understand this, let's consider an example. If we plug in a value of t = 2 into the equation, we can calculate the corresponding distance traveled (d). Using the equation d = 65t, we have:

d = 65 * 2

d = 130

Therefore, when the car has been traveling for 2 hours, it will have traveled a distance of 130 miles.

The constant speed of 65 miles per hour means that for every unit of time (hour) that passes, the car will travel 65 units of distance (miles). This relationship remains constant throughout the car's journey, as long as it maintains the same speed.