Ataxi charges $3.00 for the first 1/5 mile and 0.25 for each additional 1/5 of a mile the comes to $24.00 how fra did the taxi drive

17 mile

Step-by-step explanation:

Let x represent the number of 1/5 miles that is drived after the first 1/5 mile.

Total mile drived  = 1/5 + x(1/5) = (x+1)/5

Total cost = the cost of the first 1/5 mile + the cost of additional 1/5 miles * x

→ 24 = 3 + (0.25)x

→ x = 84

Total mile = (x + 1)/5    (Substitute x)

→  (84 + 1)/5 = 17

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: