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 $2.50 fee and $2.50 per mile for each cab ride.
1. Write an equation in slope-intercept form to represent the amount charged, C, for m number of miles by the company in Charlotte.
The equation in slope-intercept form to represent the amount charged, C, for m number of miles by the company in Charlotte is:
C = 2.50m + 2.50
2. Write an equation in point-slope form to represent the amount charged, C, for m number of miles by the company in Charlotte. (Hint: Go to Desmos and convert the equation you created in #1 to a table. Use a point from the table)
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1 point
To convert the equation C = 2.50m + 2.50 to point-slope form, we need to select a point from the table generated in Desmos.
Using a point from the table, let's say when m = 3 (3 miles), the amount charged, C, would be:
C = 2.50(3) + 2.50
C = 7.50 + 2.50
C = 10
Therefore, a point on the line is (3, 10).
The equation in point-slope form for the amount charged, C, for m number of miles by the company in Charlotte using this point is:
C - 10 = 2.50(m - 3)
3. Write an equation in standard form to represent the amount charged, C, for m number of miles by the company in Charlotte. (Remember A cannot be negative and no fractions or decimals for any of the values)
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1 point
The standard form equation to represent the amount charged, C, for m number of miles by the company in Charlotte can be derived from the point-slope form equation we obtained in the previous question.
C - 10 = 2.50(m - 3)
To convert it to standard form, we'll expand and rearrange the equation:
C - 10 = 2.50m - 7.50
C - 2.50m = -7.50 + 10
C - 2.50m = 2.50
Multiplying both sides of the equation by 100 to eliminate decimals:
100C - 250m = 250
Therefore, the equation in standard form is:
100C - 250m = 250
4. What does the y-intercept mean in the context of this problem? Hint: What do you pay when you step into the cab?
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1 point