Question

Lauren is going to drive from her house to City A without stopping. Lauren plans to drive at a speed of 35 miles per hour, and after driving for 2 hours, she will be 70 miles away from City A. Write an equation for the function D(t), representing Lauren's distance from City A t hours after leaving her house.

Answer 1

D(t) = Do - 35*t

(Where Do is the distance from Lauren's house to City A)

Explanation:

To write a equation for D(t), we can use the following variables and constants:

Do = inicial distance from Lauren's houre to City A

V = speed that Lauren is driving (V = 35)

t = amount of hours travelled.

So, we can write this equation:

D(t) = Do - V*t

We use a negative sign for the speed because the distance from Lauren to the City A is decreasing with time (Lauren is approaching the City).

So, we have that our equation is:

D(t) = Do - 35*t