Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set
on a number line.
-When making a long distance call from a certain pay phone, the first three minutes of a call cost $1.65. After that, each additional minute or portion of a minute of that call costs $0.35. Use an inequality to find the number of minutes one can call long distance for $5.85.
A) 15 minutes or fewer
B) 12 minutes or fewer
C) 4 minutes or fewer
D) 17 minutes or fewer

Question

Quizplus · Accepted Answer

The cost of the first three minutes is $1.65. Let $x$ be the total number of minutes after the first three. Each additional minute costs $0.35, so the cost for these minutes is $0.35x$. The total cost is then $1.65 + 0.35x$. For a total cost of $5.85, the inequality is $1.65 + 0.35x \leq 5.85$. Solving for $x$, we subtract 1.65 from both sides to get $0.35x \leq 4.20$. Dividing by 0.35, we find $x \leq 12$. Since $x$ represents the minutes after the first three, the total number of minutes is $3 + x \leq 15$, indicating 15 minutes or fewer.

Solve the Linear Inequality