Question

A car is traveling down a highway at a constant speed, described by the equation d=65t , where d represents the distance, in miles, that the car travels at this speed in t hours.

a. Complete the statement about the meaning of 65 tell in this situation.

The car travels __miles in __hour.

b. How many miles does the car travel in 1.5 hours?

___miles

c. How long does it take the car to travel 26 miles at this speed?

____minutes

Answer 1

The car travels 65 miles in 1 hour, 97.5 miles in 1.5 hours, and it takes 24 minutes to travel 26 miles at this constant speed.

Step-by-step explanation:

Understanding Motion Equations Given the equation d=65t, where d represents the distance in miles and t represents time in hours, we can deduce that the car travels at a constant speed. The '65' in the equation represents the car's speed in miles per hour (mph).

a. The complete statement describing the meaning of '65' in this situation is: The car travels 65 miles in 1 hour.

b. To calculate the distance traveled in 1.5 hours, we substitute 't' with 1.5 in the equation: d = 65 * 1.5 = 97.5 miles.

c. To find out how long it takes to travel 26 miles, we solve for 't': 26 = 65t, which gives t = 26/65 hours. To convert this into minutes, we multiply by 60, yielding t = (26/65) * 60 = 24 minutes.