Question

Two car services offer to pick you up and take you to your destination. Service A charges 40 cents to pick you up and 30 cents for each mile of your trip. Service B charges $1.10 to pick you up and charges c cents for each mile.

A) Match the services to the lines l and m

B) For service B, is the additional charge per mile greater or less than 30 cents per mile of the trip? Explain your reasoning ​

Answer 1

Answer/Step-by-step explanation:

a.) Service A charges of 40 cents to pick you up is the initial value (y-intercept). Form the graph, the line that has a y-intercept of approximately 40 cents is line m.

Also, the initial value of line l is $1.10 from the graph, which is the pick up cost that Service B charges. Therefore,

Line m = Service A

Line l = Service B

b.) The additional charge of service B = the slope of line l. Let's calculate the slope to see if it's greater than or less than 30 cents per mile of the trip.

Using two points on line l, (0, 1.10) and (7, 2.5)

Slope = change in y/change in x = (2.5 - 1.10)/(7 - 0)

= 1.4/7 = 0.2

Additional charge per mile for service B is $0.2 = 20 cents.

Therefore we can conclude that the additional charge per mile for service B is less than 30 cents/mile of the trip.