Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 minutes to reach mile marker 3. When she reaches mile marker 6, she notes that 8 minutes total have passed since mile marker 0.
What is the average speed of the car in miles per minute?
mile(s) per minute
What is an equation of the line that represents n, the number of mile marker passed, as a function of t, time in minutes?
Let's calculate the average speed first:
Speed = Distance / Time
Speed = 6 miles / 8 minutes
Speed = 0.75 miles per minute
So the average speed of the car is 0.75 miles per minute.
Now, to find the equation of the line representing the number of mile markers passed as a function of time, we first need to determine the speed at which Ava is driving.
At mile marker 3, Ava has traveled 3 miles in 4 minutes. Therefore, the speed at that point is:
Speed = Distance / Time
Speed = 3 miles / 4 minutes
Speed = 0.75 miles per minute
Now, we know that the equation for speed is:
Speed = Distance / Time
Rearranging the formula to find distance:
Distance = Speed * Time
Therefore, the equation of the line representing the number of mile markers passed (n) as a function of time (t) is:
n(t) = Speed * t
Substituting the known speed value:
n(t) = 0.75t