Two taxi companies charge different rates.
Metro Taxi: $3.00 for the first mile and $2.50 for each additional mile

City Taxi: $5.00 for the first mile and $2.25 for each additional mile

For how many additional miles and how many total miles would the charge be the same at each company?

Show your work.

Step-by-step explanation:

Assume that the additional miles that make the charge for total miles the same at each company is x (miles)

The charge of total miles by Metro taxi is: 3 + 2.5x ($)

The charge of total miles by City taxi is: 5 + 2.25x ($)

As the charge for the total is the same at each company, so that we have the equation as following: 3 +2.5x = 5 + 2.25x

=> 2.5x - 2.25x = 5-3

=> 0.25x = 2

=> x = 2/0.25 = 8 (miles)

=> The total miles are: 8 + 1 = 9 miles

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

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