Question

where do these two points meet when you graph them each, and what can you conclde about them

Math 1040 section 8.5 Assignment 2 1. For each rental plan, represent the relationship between the number of miles (from 20 to 45) and the cost. Use a linear function, a table of ordered pairs, and graph. What conclusion can you draw about these plans? Rental P al Plan Car Ren Car Renta 515 per day plus 5.25 per mile 58 per day plus 5.45 per mile

Answer 1

Rental plan 1 is $15 per day is fixed cost and $0.25 per mile.

Rental plan 2 is $8 per day is fixed cost and $0.45 per mile.

For rental plan 1 the cost function will be y = 15 + 0.25x

and for rental plan2 the cost function will be y = 8 + 0.45x

where y = total cost incurred in car rental for x miles of distance travelled.

Rental plan 1		Rental plan 2
Miles	Cost	Miles	Cost
0	15	0	8
5	16.25	5	10.25
10	17.5	10	12.5
20	20	20	17
25	21.25	25	19.25
30	22.5	30	21.5
35	23.75	35	23.75
40	25	40	26
45	26.25	45	28.25

30 25 20 15 Rental plan 1 Rental plan 2 10 5 0 10 20 30 40 50 Number of miles driven Cost un

These two line meet at (35 miles, $23.75) which means If we drive for 35 miles then both rental plans are same cost. For below 35 miles we can use Rental plan 2 and for above 35 miles we can go for Rental plan 1.