cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven
The city of raleigh , NC charges $1.95 fee and $2.70 per mile
For the Raleigh company, create a table to represent the cost of the cab ride given the number of miles provided for miles 5, 10, 15 and 20. List the cost for the cab ride for 15 miles.r each cab ride.
| Number of Miles | Cost of Cab Ride |
|-----------------|-----------------|
| 5 | $16.50 |
| 10 | $31.50 |
| 15 | $46.50 |
| 20 | $61.50 |
For the Raleigh company write an equation in slope-intercept form to represent the amount charged, C, for m number of miles.
The equation in slope-intercept form for the Raleigh company to represent the amount charged, C, for m number of miles would be:
C = 2.70m + 1.95
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.
To write the equation in point-slope form, we need to have a specific point (m, C) on the line. Let's use the point (15, 46.50) which represents a cab ride of 15 miles.
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 - 46.50 = 2.70(m - 15)
Write an equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh.
To write the equation in standard form, we need to rearrange the equation in point-slope form:
C - 46.50 = 2.70(m - 15)
Expanding the equation:
C - 46.50 = 2.70m - 40.50
Now, let's move all the terms to the left side:
C - 2.70m = -40.50 + 46.50
Simplifying:
C - 2.70m = 6
The equation in standard form, representing the amount charged, C, for m number of miles for the company in Raleigh, is:
C - 2.70m = 6
What does the slope mean in the context of the problem?
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