Question
Your family decides to take a long road trip for the summer. You will be riding in the car while it moves at a fairly constant rate for eight hours to reach your destination.
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.
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.
Answers
Bot
The distance covered by the car during the road trip depends on the time it travels. So, we use 𝑦𝑦 to represent the total distance covered, and 𝑥𝑥 to represent the time in hours.
We know that the car moves at a constant rate, so we can use the formula:
distance = rate x time
where the rate represents the speed of the car.
Let's assume the car travels at a rate of 𝑟𝑟 miles per hour. Then the equation that relates distance to time is:
𝑦𝑦 = 𝑟𝑟𝑥𝑥
where 𝑦𝑦 is the distance covered in miles and 𝑥𝑥 is the time in hours.
We know that the car moves at a constant rate, so we can use the formula:
distance = rate x time
where the rate represents the speed of the car.
Let's assume the car travels at a rate of 𝑟𝑟 miles per hour. Then the equation that relates distance to time is:
𝑦𝑦 = 𝑟𝑟𝑥𝑥
where 𝑦𝑦 is the distance covered in miles and 𝑥𝑥 is the time in hours.