Question

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.
Answer
For the Raleigh company write an equation in slope-intercept form to represent the amount charged, C, for m number of miles.
Answer
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.
Answer
Write an equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh.
Answer
What does the slope mean in the context of the problem?
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Answered by GPT 3.5
| Number of Miles | Cost of Cab Ride |
|-----------------|-----------------|
| 5 | $16.50 |
| 10 | $31.50 |
| 15 | $46.50 |
| 20 | $61.50 |
Answered by GPT 3.5
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
Answered by GPT 3.5
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)
Answered by GPT 3.5
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
Answered by GPT 3.5
In the context of the problem, the slope of 2.70 represents the additional fee charged per mile driven by the cab company in Raleigh, NC. It indicates that for every mile traveled, the cost of the cab ride increases by $2.70. The slope represents the rate of change of the cost with respect to the number of miles driven.