Question

Abdul will rent a car for a day. The rental company offers two pricing options: Option A and Option B. For each pricing option, cost (in dollars) depends on miles driven, as shown below.

Answer 1

From the graph, we are to determine the following:

(a) We are to find the option that costs less if Abdul drives 300 miles of the rental car and also how much less is it from the other option.

Option A: when x = 300, y = 140

Option B: when x = 300, y = 120

So the difference is:

140 - 120 = 20

So the option that costs less is B

And it costs $20 lesser than option A

(b) For what number of miles does the option costs the same and if Abdul drives less than that amount, what option cost more.

Option A: when x = 100, y = 60

Option B: when x = 100, y = 60

Therefore, the number of miles where the options cost the same is 100 miles.

If Abdul drives less than the amount:

That is x < 100, the B > A,

Which means, if Abdul drives less than 100 miles, Option B, costs more.