SOLUTION: a one way subway trip costs $0.75. a monthly subway pass costs $27. write and solve an inequality to find the least number of one way rides you must take for the subway pass to be

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Question 1012910: a one way subway trip costs $0.75. a monthly subway pass costs $27. write and solve an inequality to find the least number of one way rides you must take for the subway pass to be a better deal than paying for each ride.
Found 4 solutions by macston, josmiceli, fractalier, MathTherapy:
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website!
R=number of rides
.
$0.75R>$27
.
When the cost per ride exceeds $27, the pass is a better deal.
.
R>$27/$0.75
R>36
.
ANSWER: The pass is a better deal if the number of rides exceeds 36.

Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website!
Let = the number of one-way trips
taken in a month with a pass
--------------------------
When is less than ?

Multiply both sides by

( note that I just rewrote the inequality
from right to left )
Divide both sides by

At least 7 one-way trips must be taken
for the pass to be a better deal
-------------------------
check:

and

-----------------
And, trying ,

and

Costs are the same
------------------
OK

Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website!
Call the number of rides, r.
We want to know how many 75 cent rides we can take to make it worth it to buy the monthly pass...thus we write
.75r <= 27
r <= 27/.75
r <= 36
Thus if we ride more than 36 times in a month, the pass is the better deal.

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!

a one way subway trip costs $0.75. a monthly subway pass costs $27. write and solve an inequality to find the least number of one way rides you must take for the subway pass to be a better deal than paying for each ride.

Let number of rides be N
For the subway pass to be a better deal, its cost must be less than the cost of 'N' one-way rides. We then get:
27 < .75N

36 < N
Number of rides, or