It costs g cents per mile for gasoline and m cents

Hello Vjesus12.

Let's take a look at your question.

We know the following information:

(i) It costs g cents per mile for gasoline
(ii) it costs m cents per mile for all other costs to run a car

And we want to know how many dollars will it cost to run a car 200 miles?

Since the trip was 200 miles long, then the costs are $$200\cdot g\ \ \ \ and\ \ \ \ \ \ 200\cdot m$$ So, the total cost is $$C=200\cdot g+200\cdot m$$ Now $$C=200\cdot\left(g+m\right)\ \ \ cents$$ Now, the question asks for how many dollars, and since 200 cents = 2 dollars we get that the total cost is 2(g+m).

This is why the correct answer is the option E.

I hope it helps you. <i class="em em-smiley"></i>