Question

A trip to the state park has a $25 trail fee per trip. You can also buy a pass for $120 plus a $5 trail fee per trip. How many trips would you have to go on in order for buying the pass to cost less than paying the whole fee every time?

A) 5 trips
B) 6 trips
C) 7 trips
D) 8 trips

Answer 1

To determine how many trips you would have to go on in order for buying the pass to cost less than paying the whole fee every time, we can set up and solve an inequality.

Step-by-step explanation:

To determine how many trips you would have to go on in order for buying the pass to cost less than paying the whole fee every time, we need to set up an equation and solve for the number of trips. Let's call the number of trips x:

Cost of buying the pass = $120 + $5x

Cost of paying the whole fee every time = $25x

We want the cost of buying the pass to be less than the cost of paying the whole fee every time, so we can set up the following inequality:

$120 + $5x < $25x

Solving this inequality, we get:

$120 < $20x

x > 6

Since x represents the number of trips, we round up to the nearest whole number. Therefore, you would have to go on at leastb