The taxi fare in Metropolis is $3.75 for the first mile and additional mileage charged at the rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $3 tip. How many miles can you ride for $20.

Total charge

=

$

4.25

+

$

1.50

(

m

−

1

)

Total charge for 12 miles  

=

$

20.75

Explanation:

Building the rule

The trick with algebra is to think what you would do with numbers, then substitute letters.

Mile number 1 costs

$

4.25

The rest of the miles

⇒

(

total miles

−

1

)

×

$

1.50

Putting this all together we have:

$

4.25

+

(

total miles

−

1

)

×

$

1.50

The question instructs that we are to use the letter m for the total miles so we now have:

$

4.25

+

(

m

−

1

)

×

$

1.50

This would be written as:

$

4.25

+

$

1.50

(

m

−

1

)

So

 Total charge

=

$

4.25

+

$

1.50

(

m

−

1

)

Determine the charge for 12 miles

Total charge

=

$

4.25

+

$

1.50

(

12

−

1

)

Total charge

=

$

4.25

+

$

1.50

(

11

)

Total charge for 12 miles

=

$

4.25

+

$

16.50

=

$

20.75

Hope this helps you...

:)

133 miles

Step-by-step explanation:

3.75 + 3 = 6.75

round to 6.80

20 - 6.80 = 13.2

13.2 / 0.1  = 132

132 + 1 the first mile that you payed $3.75

they used 313 gallons of paint