In the problem below, state whether the described change gives a parallel line or a steeper line and write the new equation. The total cost, in dollars, of gasoline is C = 2.30g, where g is in gallons. The gasoline rises in price by $0.80 per gallon.
A) parallel; $C = 2.30 g + 0.80$
B) steeper; $C = 3.20 g$
C) parallel; C = 3.20g + 0.80
D) steeper; C = 3.10g
E) parallel; C = 3.10g

Question

Quizplus · Accepted Answer

If the gasoline rises in price by $0.80 per gallon, we need to add $0.80 to the coefficient of g in the original equation C = 2.30g. That gives us C = (2.30 + 0.80)g = 3.10g, which is steeper than the original line. Therefore, the answer is D.

In the Problem Below, State Whether the Described Change Gives C=2.30g+0.80C = 2.30 g + 0.80C=2.30g+0.80

In the Problem Below, State Whether the Described Change Gives $C = 2.30 g + 0.80$