Question

ravi 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. (a) if ravi drives the rental car 120 miles, which option costs less? option a option b how much less does it cost than the other option? $\square$ (b) for what number of miles driven do the two options cost the same? $\square$ if ravi drives more than this amount, which option costs more? option a option b

Explanation:

Step1: Find cost of Option A at 120 miles

From the graph, Option A at 120 miles: $\$60$

Step2: Find cost of Option B at 120 miles

From the graph, Option B at 120 miles: $\$50$

Step3: Calculate cost difference

$\$60 - \$50 = \$10$

Step4: Find equal cost mileage

The lines intersect at 60 miles, so costs are equal here.

Step5: Compare costs over 60 miles

For miles >60, Option A's line is higher, so it costs more.

Answer:

(a) Option B
$\$10$
(b) 60
Option A