Graph each line and use the line to answer the question.

Question

When renting a car two options listed below are given .You need the car for 3days. How many miles must you travel in order for option 2 to be the better option?Use variables to set up an equation for each option. Graph each line and use the line to answer the question.

OPTION 1:

Daily fee $50

Cost per mile$0.15

Option2:

Daily fee $65

Unlimited miles

Answer 1

3(60)< 3(50)+.15m

30<.15m

30/.15 < m

m> 30/.15 = less than 199 miles makes option 2 less expensive

199 miles cost 199 times $0.15 = $30 for mileage

$150+$30 = $180. At 199 miles both cost the same $180 = 3(60)

go 200 miles and option 2 is less expensive

go anything over 199, such as 199 plus a part of a mile and they likely

charge for 200 miles, so m>199 and option 2 is cheaper