Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Analyzing One-Variable Inequalities in Context

Analyzing One-Variable Inequalities in Context 1.10 - Solution

arrow_back Return to Analyzing One-Variable Inequalities in Context
To begin, we can write an expression to determine the cost spent at each campground. Let xx be the number of nights we camp. At Calverton River Campgrounds they charge a fee of $85\$85 and $40\$40 per night. 85+40x\begin{gathered} 85+40x \end{gathered} At Shawnee Lake Campgrounds they charge a fee of $25\$25 and $52\$52 per night. 25+52x\begin{gathered} 25+52x \end{gathered} We want to know how many nights, x,x, we have to stay to make Calverton River Campgrounds cheaper than Shawnee Lake Campgrounds. We find that by solving the inequality 85+40x<25+52x.85+40x<25+52x.
85+40x<25+52x85+40x<25+52x
60+40x<52x60+40x<52x
60<12x60<12x
5<x5<x
x>5x>5
Thus, Calverton River Campgrounds is cheaper for a stay longer than 55 nights.