Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. Parts for an automobile repair cos

Tabansi 2021-05-18 Answered
Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. Parts for an automobile repair cost $175. The mechanic charges $34 per hour. If you receive an estimate for at least $226 and at most $294 for fixing the car, what is the time interval that the mechanic will be working on the job?

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Expert Answer

Yusuf Keller
Answered 2021-05-19 Author has 25296 answers

Let's note: x=the time interval that the mechanic will be working on the job
We write the inequalities modeling the problem: \(\displaystyle{226}\le{175}+{34}{x}\le{294}\)
We solve the inequalities: \(\displaystyle{226}-{175}\le{175}+{34}{x}-{175}\le{294}-{175}\)
\(\displaystyle{51}\le{34}{x}\le{119}\)
\(\displaystyle\frac{{51}}{{34}}\le\frac{{110}}{{34}}\)
\(\displaystyle{1.5}\le{x}\le{3.5}\)

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Answered 2021-10-10 Author has 11052 answers

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