The city of Charlotte, N.C. charges $2.50 flat fee and $2.50 per mile for each cab ride. Write an equation in slope-intercept form to represent the amount charged. C, for M number of miles by the company in Charlotte.
If the city of Charlotte charges a flat fee of $2.50 and an additional $2.50 per mile, then the amount charged for a cab ride, C, in terms of the number of miles, M, can be represented by the equation:
C = 2.50 + 2.50M
Can we use the Y format instead of the C?
Yes, we can use the Y format instead of the C. So, the equation in slope-intercept form to represent the amount charged for a cab ride, Y, in terms of the number of miles, M, would be:
Y = 2.50 + 2.50M
Thank you. Now can you write an equation in point-slope form (using Y) to represent the amount charged, C, for m number of miles by the company in Charlotte.
To write the equation in point-slope form, let's substitute C for Y in the previous equation. Therefore, the equation in point-slope form to represent the amount charged for a cab ride, C, in terms of the number of miles, M, is:
C - 2.50 = 2.50M
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 value)
To write the equation in standard form, we need to eliminate any decimals or fractions. Let's start by multiplying both sides of the equation by 100 to eliminate the decimals:
100C - 250 = 250M
Next, we can rearrange the equation to have the C term on the left side and the M term on the right side:
100C = 250M + 250
Finally, to get rid of the coefficient of 100 in front of C, we can divide both sides of the equation by 100:
C = (250M + 250)/100
Simplifying this further:
C = 2.5M + 2.5
Therefore, the equation in standard form to represent the amount charged, C, for M number of miles by the company in Charlotte is:
C = 2.5M + 2.5