Let's analyze the problem step-by-step.

Part (a) Explanation:

• The equation given is $d = 65t$, where:
  • $d$ = distance (in miles)
  • $t$ = time (in hours)
  • 65 is the constant speed of the car in miles per hour (mph).

Thus, the 65 tells us the car travels 65 miles every hour (i.e., it represents the speed of the car).

Part (b) Solution:

We need to find how far the car travels in 1.5 hours.

Given: $d = 65t$ Substitute $t = 1.5$: $d = 65 \times 1.5 = 97.5 \, \text{miles}$

So, the car travels 97.5 miles in 1.5 hours.

Would you like more details or have any questions?

Here are five related questions you might find useful:

1. How far would the car travel in 3 hours?
2. If the car traveled 195 miles, how long did it take?
3. What would the equation be if the car traveled at 70 mph instead?
4. How does the equation change if the car’s speed varies over time?
5. How would the units change if the speed was given in kilometers per hour?

Tip: Always make sure the units are consistent (hours for time and miles for distance) when using such equations.