Question

Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven. Pick a U.S. city and research the rates of two

different cab companies in that city. Find companies that charge different amounts per mile and have different flat fees. If you have trouble finding this information for two companies, you can make up what you think would be reasonable prices for a cab's flat rate and a cab's rate per mile.

Task 1
a. For the first company, express in words the amount the cab company
charges per ride and per mile.
b. Write an equation in slope-intercept, point-slope, or standard form. Explain
why you chose the form you did.
c. What do the slope and y-intercept mean in the context of this problem?
Hint: What do you pay when you step into the cab?

Answer 1

y = 4x + 3

Step-by-step explanation: There are many ways for a Cab company set up its fares. By sure just for have service (get the cab) you must have to be charged, and as is not the same a 4 miles services than a 25 miles services is fare, that a charge should exist asocciated wiht numbers of miles traveled. And certanly this is a typical way companies have.

Company A established a flat free a flat fee for picking a customer in 3 $ and 4$ for each mile or fraction of a mile.

The representation of such arrangement is a straight line. Any of the existing ways to represent a straight line are equaly valid ( if you have two point of the line, or slope and the y axis intercept all are valid. In this example we will use the equation:

y = mx + b (1)

Because is better for us to explain our case.

In a x,y cartesian axes ( y dollars , and x miles ) the two parameters in equation 1, b and m are the intercept of the line with axis y and at the same time a flat fee for get a cab (note x = 0 , you are boarding a cab) and m the slope of the line which the rate of $/miles that customer has to pay.

In our particular case

y = 4x + 3