# "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."

a. For the first company, express in words the amount the cab company
charges per ride and per mile.

The flat fee for Yellow Taxi is \$3.30 and the charge per mile is \$0.50

b. Write an equation in slope-intercept, point-slope, or standard form. Explain
why you chose the form you did.

I don't know

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?

I don't know

Help me with b and c

## b. Y = mx + b.

Y = 0.5x + 3.30.
The slope-intercept form is a perfect fit for this transaction.

c. Slope(m) = Cost per mile.

y-intercept(b) = Flat fee.

Y = Total cost.
x = The number of miles driven.

## Task 2

For the second company (((Taxi Fare))), express in a table the cost of the cab ride given the number of miles provided.
Number of Miles 0 1 2 3 4 5
Total Cost (dollars)
0MILES=2.50
1MILES=3.00
2MILES=3.50
3MILES=4.00
4MILES=4.50
5MILES=5.00

a. Write an equation in slope-intercept, point-slope, or standard form. Explain why you chose the form you did.
y = mx + b.
y = 0.50x + 2.50.
It's easier for comparison to use the same form I did for the first one, also this equation can be easily written in slope-intercept form.

b. What does the slope mean in the context of the problem?
The slope (m) is the additional fee that will be charged per mile.

Task 3
Cabs use a valuable commodity—gas! Research average gas prices from 2005–2015 for the city you chose.
a. Create a table showing the average gas price each year. (((First row years - second row average cost)))
|2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015|
|2.31 | 3.12 | 3.25 | 3.81 | 2.31 | 2.89 | 3.96 | 3.72 | 3.57 | 3.48 | 2.63 |

b. Create a scatter plot of the data in your table. (((sorry, you'll have to do this on your own, or find someone else :( good luck tho)))

c. What equation models the data? What are the domain and range of
the equation? Explain how you determined your answers.
There is no specific equation, I determined this to be the answer because there is no correlation in the scatter plot. (((I don't know what domain and range and google wasn't helpful enough are so I didn't answer that one)))

d. Is there a trend in the data? Does there seem to be a positive correlation, a negative correlation, or neither?
Neither

How much do you expect gas to cost in 2020? Explain.
Well, because it's 2022 and there was no correlation to the graph, based on real life experiences gas in 2020 had an average of about 2.19 per gallon.

I am about to submit my assignment using the answers given above for Task 1 and my answers for Task 2 and 3, I'll let you know what I get. I hope this was useful.

## For part b, to write an equation in slope-intercept, point-slope, or standard form, you need to have specific information about the relationship between the flat fee and the charge per mile. Unfortunately, the information you provided only mentions the values for the flat fee and charge per mile for the Yellow Taxi company, but not their relationship. Therefore, we don't have enough information to write an equation in any of these forms.

For part c, the slope and y-intercept are concepts related to linear equations but in this particular problem, they don't have a clear meaning since we can't write an equation. However, we can still discuss what they typically represent in the context of this type of problem.

In general, the slope of a linear equation represents the rate of change, or the amount by which one variable increases or decreases for each unit change in the other variable. In this problem, if we were able to write an equation linking the flat fee and the charge per mile, the slope would indicate the increase in the total cost for each additional mile driven.

The y-intercept, on the other hand, represents the initial value or cost when the second variable (in this case, the miles driven) is zero. In the context of this problem, the y-intercept would represent the flat fee charged by the cab company when you step into the cab.

Since we don't have an equation, we can't assign specific meanings to the slope and y-intercept here, but in a typical scenario, they would play these roles.