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Chapter 0: Problem 62

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I find the hardest part in solving a word problem is writing the equation that models the verbal conditions.

Short Answer

Expert verified
The statement makes sense - formulating an equation from the verbal conditions of a word problem is indeed often the hardest part of the problem-solving process.

Step by step solution

01

Understanding the Statement

The solution begins by first fully comprehending the statement 'I find the hardest part in solving a word problem is writing the equation that models the verbal conditions.' It illustrates that this particular individual finds it most challenging to convert the terms of a word problem into an equivalent equation.
02

Relating to Common Obstacles in Solving Word Problems

Next, it鈥檚 important to recognize common obstructions in solving word problems in general. These generally range from understanding the problem, devising a strategy, carrying out the strategy, and reflecting upon the solution afterward. However, it is apparent that developing an equation from the verbal description is a regularly challenging aspect of problem-solving.
03

Analyzing the Reasonability of the Statement

The final step relies upon introspecting the reasonability of the statement using the information acquired from the prior steps. Since formulating the equation is indeed often the most challenging part in solving a word problem, because it requires bridging the gap between the language-based problem description and the symbolic mathematical representation, the statement can be considered to make sense.

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Most popular questions from this chapter

When graphing the solutions of an inequality, what does a parenthesis signify? What does a square bracket signify?

This will help you prepare for the material covered in the next section. If 6 is substituted for \(x\) in the equation $$2(x-3)-17=13-3(x+2)$$ is the resulting statement true or false?

The average rate on a round-trip commute having a one-way distance \(d\) is given by the complex rational expression $$\frac{2 d}{\frac{d}{r_{1}}+\frac{d}{r_{2}}}$$ in which \(r_{1}\) and \(r_{2}\) are the average rates on the outgoing and return trips, respectively. Simplify the expression. Then find your average rate if you drive to campus averaging 40 miles per hour and return home on the same route averaging 30 miles per hour. Explain why the answer is not 35 miles per hour.

Explain how to add or subtract rational expressions with the same denominators.

Use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality. To earn an A in a course, you must have a final average of at least \(90 \% .\) On the first four examinations, you have grades of \(86 \%, 88 \%, 92 \%,\) and \(84 \% .\) If the final examination counts as two grades, what must you get on the final to earn an A in the course?
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