Question

A taxi company charges $4 as soon as a passenger enters the cab, then $3/mile for the first 6 miles, and then $2/mile for distances greater than 6 miles Which graph best models the taxi company's charges?

Answer 1

c=0 6d+1.2

Explanation:

The

3

mile cab ride includes a basic charge as well as the cost for the distance covered.

For a

6

mile trip, the cost is

$

4.80

which means that :

The cost of

3

miles is

$

4.80

−

$

3.00

=

$

1.80

Therefore the cost for

1

mile is

$

1.80

÷

3

=

$

0.60

The basic fee for hiring the cab is

$

3.00

−

$

1.80

=

$

1.20

So the total cost,

c

for a trip of

d

miles will be:

c

=

0.6

d

+

1.2

Check:

If

d

=

3

c

=

0.6

(

3

)

+

1.2

=

3

If

d

=

6

c

=

0.6

(

6

)

+

1.2

=

4.8