If picked 60-70 mph as a reasonable speed for the car to travel at for most of the trip because it is a common speed limit on highways and interstates, where long road trips typically take place. This speed allows for efficient travel while maintaining safety, as it is neither too slow nor too fast for most road conditions. Additionally, traveling at this speed would ensure that the road trip can be completed within a reasonable tim picked 60-70 mph as a reasonable speed for the car to travel at for most of the trip because it is a common speed limit on highways and interstates, where long road trips typically take place. This speed allows for efficient travel while maintaining safety, as it is neither too slow nor too fast for most road conditions. Additionally, traveling at this speed would ensure that the road trip can be completed within a reasonable time frame of eight hours, covering a significant distance while minimizing the time spent on the roade frame of eight hours, covering a significant distance while minimizing the time spent on the road Fill out the table below that shows the amount of time that has passed and how far

you have traveled from 0–8 hours. Make sure to label the quantities on the top row of
the table. Pay attention to which side each quantity should go on.

| Time (hours) | Distance Traveled (miles) |

|--------------|--------------------------|
| 0 | 0 |
| 1 | 60-70 |
| 2 | 120-140 |
| 3 | 180-210 |
| 4 | 240-280 |
| 5 | 300-350 |
| 6 | 360-420 |
| 7 | 420-490 |
| 8 | 480-560 |

Write an equation using the variables 𝑥𝑥 and 𝑦𝑦 that relates the distance to the time.

Label the variables to show what they stand for in the equation. Be careful of which
variable you use for the independent and dependent quantities.

Let:

- x = time (hours)
- y = distance traveled (miles)

The equation relating distance to time is:
y = 60x

In this equation, y (distance traveled) is the dependent variable and x (time) is the independent variable. The coefficient 60 represents the average speed of 60 mph.

Use the table, graph, or equation to predict how far the car would travel if it drove

for 10 hours instead of 8.

Using the equation y = 60x, where x = 10 hours:

y = 60(10)
y = 600

Therefore, if the car drove for 10 hours instead of 8, it would travel approximately 600 miles.

Which representation (table, graph, or equation) did you use?

I used the equation y = 60x to predict how far the car would travel if it drove for 10 hours instead of 8.

Why did you choose this method?

I chose to use the equation y = 60x because it is a simple and direct way to calculate the distance traveled based on the time spent driving. The equation represents a constant speed of 60 mph, making it easy to predict the distance for any given time. Additionally, the equation allows for quick calculations without the need for plotting points on a graph or manually calculating distances from a table.