you want to rent a limousine for a trip to the city. the limo costs 700$ for the night and 0.15$ per mile. you only have to spend. write an inequality that represents this scenario

See the solution process below:

Explanation:

The formula for solving this problem is:

c

=

f

+

(

r

⋅

m

)

Where:

c

is the total cost - $750 for this problem

f

is the fixed cost - $700 for this problem

r

is the variable rate cost - $0.15 per mile for this problem

m

is the number of miles traveled - what we are solving for in this problem.

Substituting and solving for

m

gives:

$

750

=

$

700

+

(

$

0.15

m

i

⋅

m

)

-

$

700

+

$

750

=

-

$

700

+

$

700

+

(

$

0.15

m

i

⋅

m

)

$

50

=

0

+

(

$

0.15

m

i

⋅

m

)

$

50

=

$

0.15

m

i

⋅

m

m

i

$

0.15

⋅

$

50

=

m

i

$

0.15

⋅

$

0.15

m

i

⋅

m

m

i

$

0.15

⋅

$

50

=

m

i

$

0.15

⋅

$

0.15

m

i

⋅

m

50

0.15

m

i

=

m

333

m

i

=

m

For $750 the limo can travel 333 miles rounded to the nearest mile.