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Chapter 1: Problem 82

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 as writing the equation correctly from verbal conditions is often the most challenging part of solving word problems.

Step by step solution

01

Understanding the statement

The first step is to understand the statement. The given statement says 'I find the hardest part in solving a word problem is writing the equation that models the verbal conditions.' This is a personal statement that expresses someone's struggle with part of the process of solving word problems - particularly formulating equations from the verbal conditions.
02

Analyzing the statement

This is commonly a challenging part of solving word problems, as it requires understanding the problem's context, deciding which mathematical method fits the problem, and being able to express this mathematically. So, it is reasonable for someone to find this part challenging.
03

Concluding the analysis

Based on this reasoning, the statement in question does make sense. It acknowledges a common difficulty in solving word problems - expressing the problem situation as a mathematical equation.

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Most popular questions from this chapter

In more U.S. marriages, spouses have different faiths. The bar graph shows the percentage of households with an interfaith marriage in 1988 and 2008. Also shown is the percentage of households in which a person of faith is married to someone with no religion. (Graph cant copy) The formula $$I=\frac{1}{4} x+26$$ models the percentage of U.S. households with an interfaith marriage, \(I\), \(x\) years after 1988 . The formula $$N=\frac{1}{4} x+6$$ models the percentage of U.S. households in which a person of faith is married to someone with no religion, \(N, x\) years after 1988 Use these models to solve Exercises. a. In which years will more than 33% of U.S. households have an interfaith marriage? b. In which years will more than 14% of U.S. households have a person of faith married to someone with no religion? c. Based on your answers to parts (a) and (b), in which years will more than 33% of households have an interfaith marriage and more than 14% have a faith/no religion marriage? d. Based on your answers to parts (a) and (b), in which years will more than 33% of households have an interfaith marriage or more than 14% have a faith/no religion marriage?

Solve each absolute value equation or indicate that the equation has no solution. $$ |x+1|+6=2 $$

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A new car worth \(\$ 45,000\) is depreciating in value by \(\$ 5000\) per year. a. Write a formula that models the car's value, \(y,\) in dollars, after \(x\) years. b. Use the formula from part (a) to determine after how many years the car's value will be \(\$ 10,000\). c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then show your solution to part (b) on the graph.

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