Question

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

(a) if Leila drives the recital cas 120 miles, whish option costs iess? option A istion B How much less does it cost than the othen option? diven, as shown below.
(b) Far what number of miles driven do the two options cost the same? If Leila drives mare than this amoant, which option costs less? aption A Iption B

Answer 1

The specific details of Option A and Option B are needed to calculate which option costs less for driving 120 miles and to determine the break-even point for miles driven where both options cost the same.

Step-by-step explanation:

To answer this question, we would need the specific details of Option A and Option B which are not provided in the question. Generally, this kind of problem involves comparing two different linear cost functions, where one option might have a higher fixed cost but a lower variable cost per mile, and the other has a lower fixed cost but a higher cost per mile. The break-even point where both options cost the same can be calculated by setting the two cost functions equal to each other and solving for the mileage at which this occurs.

For example, if Option A has a cost function C_A = f_A + (v_A \cdot x) and Option B has a cost function C_B = f_B + (v_B \cdot x), where f represents a fixed cost, v represents the cost per mile, and x represents the miles driven. We can find the break-even point by setting C_A equal to C_B and solving for x.

Without the specific cost functions, however, we cannot calculate the answer. We'd need to know the base fee and cost per mile for both options to make the calculations.