Question 5
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.
Question 6
Use the table, graph, or equation to predict how far the car would travel if it drove
for 10 hours instead of 8.
Which representation (table, graph, or equation) did you use?
Why did you choose this method?
Question 5:
Let's say 𝑥 represents time in hours and 𝑦 represents distance in miles. The equation relating distance to time can be written as: 𝑦 = 𝑘𝑥. In this equation, 𝑘 represents the speed of the car in miles per hour.
Question 6:
I used the equation 𝑦 = 𝑘𝑥 to predict how far the car would travel if it drove for 10 hours instead of 8.
To do this, I substituted 𝑥 = 10 into the equation 𝑦 = 𝑘(10) and solved for 𝑦. This allows me to calculate the distance the car would travel in 10 hours.
I chose to use the equation because it provides a direct and accurate way to calculate the distance for any given time without having to rely on a table or a graph.