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Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. The toll to a bridge is $3.00. A t

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asked 2021-06-25
Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. The toll to a bridge is $3.00. A three-month pass costs $7.50 and reduces the toll to $0.50. A six-month pass costs $30 and permits crossing the bridge for no additional fee. How many crossings per three-month period does it take for the three-month pass to be the best deal?

Answers (1)

2021-06-26
Let's note: x=the number of crossing per three-month period
We write the inequality which models the problem: \(\displaystyle{7.50}+{0.50}{x}{<}\frac{{30}}{{2}}\)</span>
We solve the inequality: 7.50+0.50x
7.50+0.50x-7.50
0.50x
\(\displaystyle{x}{<}\frac{{7.50}}{{0.50}}\)</span>
x<15
0
 
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