1. A car is traveling down a highway at a constant speed, described by the equation \( d=65 t \), where \( d \) represents the distance, in miles, that the car travels at this speed in \( t \) hours. a. What does the 65 tell us in this situation? b. How many miles does the car travel in 1.5 hours? c. How long does it take the car to travel 26 miles at this speed?

Let's analyze the equation \( d = 65t \) step by step. ### a. What does the 65 tell us in this situation? The number 65 in the equation \( d = 65t \) represents the speed of the car in miles per hour (mph). This means that the car is traveling at a constant speed of 65 miles per hour. ### b. How many miles does the car travel in 1.5 hours? To find the distance traveled in 1.5 hours, we can substitute \( t = 1.5 \) into the equation: \[ d = 65t = 65 \times 1.5 \] Calculating this gives: \[ d = 65 \times 1.5 = 97.5 \text{ miles} \] So, the car travels **97.5 miles** in 1.5 hours. ### c. How long does it take the car to travel 26 miles at this speed? To find the time it takes to travel 26 miles, we can rearrange the equation \( d = 65t \) to solve for \( t \): \[ t = \frac{d}{65} \] Now, substituting \( d = 26 \): \[ t = \frac{26}{65} \] Calculating this gives: \[ t = 0.4 \text{ hours} \] To convert 0.4 hours into minutes, we multiply by 60: \[ 0.4 \times 60 = 24 \text{ minutes} \] So, it takes the car **0.4 hours** or **24 minutes** to travel 26 miles at this speed.