Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven.
The city of Charlotte, NC charges $1.95 fee and $2.70 per mile for each cab ride.
For the Raleigh company write an equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh, NC
For the Raleigh company, let's assume the flat fee for picking someone up is $2.25. The additional fee per mile driven is $3.30.
To write the equation in point-slope form, we need to find the slope and a point on the line.
The slope represents the additional fee per mile driven, which is $3.30. So the slope, m, is 3.30.
Now, let's find a point on the line. Let's say that after traveling 0 miles, the total amount charged is the flat fee of $2.25. Therefore, we have the point (0, 2.25).
The equation in point-slope form is:
C - 2.25 = 3.30(m - 0)
Simplifying the equation, we have:
C - 2.25 = 3.30m
So the equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh, NC is:
C = 3.30m + 2.25
Write an equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh.
To convert the equation in point-slope form to standard form, we need to rearrange the terms so that the equation is written as Ax + By = C, where A, B, and C are integers.
The equation in point-slope form is:
C = 3.30m + 2.25
To convert it to standard form, let's multiply both sides of the equation by 100 to eliminate the decimals:
100C = 100(3.30m + 2.25)
100C = 330m + 225
Now, let's rearrange the equation:
-330m + 100C = 225
Since we want the coefficients of m and C to be positive, we'll multiply both sides of the equation by -1:
330m - 100C = -225
Finally, let's rewrite the equation in standard form:
330m - 100C = -225
So, the equation in standard form that represents the amount charged, C, for m number of miles for the company in Raleigh, NC is:
330m - 100C = -225
What does the slope mean in the context of the problem?
In the context of the problem, the slope represents the additional fee per mile driven by the cab company in Raleigh, NC. For every mile traveled, the cab company charges an additional $3.30. The slope of 3.30 indicates that the total amount charged increases by $3.30 for each mile traveled.
Average Gas Prices
Columbia, South Carolina
Year | Gas Prices Year | Gas Prices
2002 $0.70 2007 $1.70
2003 $1.04 2008 $2.55
2004 $1.15 2009 $1.29
2005 $1.38 2010 $2.22
2006 $1.86 2011 $2.56
Using the table provided above, list the average gas price for 2010