Math Snap

STEP 1

Assumptions1. The equation given is $y=65x+80$, where $x$ is the number of hours driving and $y$ is the number of miles.
. We are asked to predict the total distance driven if we continue for another3.5 hours.

STEP 2

First, we need to find the total number of hours driven. Since we have already driven for $x$ hours and we are going to drive for another.5 hours, the total number of hours driven will be $x +.5$.

STEP 3

Now, we substitute $x +3.5$ into the equation to find the total distance driven.$$y =65(x +3.5) +80$$

STEP 4

Next, we distribute the65 to both $x$ and3..
$$y =65x +65 \times3. +80$$

STEP 5

Calculate the multiplication.
$$y =65x +227.5 +80$$

Now, we add the constants.
$$y =65x +307.5$$So, the total distance driven after driving for another3.5 hours is represented by the equation $y =65x +307.5$.