Ella is going to drive from her house to City A without stopping. Ella's house is 100 miles from City A and after driving for 3 hours, she will be 25 miles away from City A. Write an equation for D, in terms of t, representing Ella's distance from City A tt hours after leaving her house.

Respuesta :

Answer:

[tex]d = 100-25t[/tex]

Step-by-step explanation:

Let's use basic logic here.

If we are 100 miles away from a place, and we've got 25 miles to go, we've already travelled 75 miles.

Since we've travelled 75 miles in 3 hours, then we travel at a rate of [tex]75\div3=25[/tex] miles per hour.

The distance to City A will be represented as 100 - miles already travelled. We  can find how many miles have been travelled by multiplying 25 by [tex]t[/tex], the amount of hours we've spent driving.

This creates the equation [tex]d = 100 - 25t[/tex]

Hope this helped!