Question

2. When you take a taxi, the driver charges an initial fee

when you start a ride and then an additional charge for
every mile driven in the cab. If the total fare for a cab
ride is 3.5m + 2.5 after riding for m miles, what does the
2.5 represent? Explain (use appropriate math
vocabulary in your explanation).

Answer 1

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

Explanation: