# Math 100 Quantative Reasoning

**AUFQR1 1.1.001.MY NOTESASK YOUR TEACHERPRACTICE ANOTHER**Use inductive reasoning to predict the next number in the given sequence.1, 4, 9, 16, 25, 36, 49, 64, ?

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**[–/1 Points]DETAILSAUFQR1 1.1.016.MY NOTESASK YOUR TEACHER**An economist for a telecommunication company determines that the number of cell phones the company can sell at various prices can be represented in the following graph.

By inductive reasoning, will the company sell fewer or more cell phones if the price of the phone is $700?fewer cell phonesmore cell phones

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**[–/1 Points]DETAILSAUFQR1 1.1.017.MI.MY NOTESASK YOUR TEACHERPRACTICE ANOTHER**The following graph shows the distance an athlete has run over 60 seconds.

Use inductive reasoning to predict the distance (in feet) the athlete will run in 70 seconds. ft

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**[–/1 Points]DETAILSAUFQR1 1.1.022.MY NOTESASK YOUR TEACHERPRACTICE ANOTHER**A block on a table is attached to a spring that is fastened to a wall. The block is pulled to stretch the spring and then released. The distance, in inches, the block is from the wall for various times, in seconds, is given in the following table.Time (seconds)012345678910111213Distance (inches)10.017.620.017.610.02.40.02.410.017.620.017.610.02.4Using inductive reasoning, what distance (in in.) will the block be from the wall after 14 seconds? in.

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**[–/1 Points]DETAILSAUFQR1 1.1.025.MY NOTESASK YOUR TEACHER**Give a counterexample to the given statement.A figure with four equal sides is a square.A trapezoid can have four equal sides and is not a square.A triangle can have four equal sides and is not a square. A circle can have four equal sides and is not a square.A diamond shape can have four equal sides and is not a square.A pentagon can have four equal sides and is not a square.

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**[–/4 Points]DETAILSAUFQR1 1.1.035.MY NOTESASK YOUR TEACHER**Each of four siblings (Anita, Tony, Maria, and Jose) is given $5,000 to invest in the stock market. Each chooses a different stock. One chooses a utility stock, another an automotive stock, another a technology stock, and the other an oil stock. From the following clues, determine which sibling bought which stock.

- Anita and the owner of the utility stock purchased their shares through an online brokerage, whereas Tony and the owner of the automotive stock did not.
- The gain in value of Maria’s stock is twice the gain in value of the automotive stock.
- The technology stock is traded on NASDAQ, whereas the stock that Tony bought is traded on the New York Stock Exchange.

utility stock —Select— Anita Tony Maria Joseautomotive stock —Select— Anita Tony Maria Josetechnology stock —Select— Anita Tony Maria Joseoil stock —Select— Anita Tony Maria Jose

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**[–/1 Points]DETAILSAUFQR1 1.1.P.003.MY NOTESASK YOUR TEACHERPRACTICE ANOTHER**The following graph shows the value of an original investment of $5,000 at the end of a year for 5 years. (See Example 3 in this section.)

Using induction, will the value of the investment at the end of year 6 be less than or more than $6,500?less than $6,500more than $6,500

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**[–/1 Points]DETAILSAUFQR1 1.1.P.004.MY NOTESASK YOUR TEACHERPRACTICE ANOTHER**The following table shows the number of grams of sugar that can be dissolved in water for various temperatures, in Celsius.Temperature102030405060Grams10.0511.212.4713.8915.4517.17Using induction, will the number of grams of sugar that can be dissolved in water that is 70°C be less than or greater than 18 grams? (See Example 4 in this section.)less than 18 gramsgreater than 18 grams

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**[–/1 Points]DETAILSAUFQR1 1.3.001.MY NOTESASK YOUR TEACHERPRACTICE ANOTHER**Use Polya’s four-step problem-solving strategy and the problem-solving procedures presented in this section to solve the following exercise.There are 370 first-grade students in Park Elementary School. If there are 24 more girls than boys, how many girls are there? girls

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**[–/1 Points]DETAILSAUFQR1 1.3.035.MY NOTESASK YOUR TEACHER**Mensa is a society that welcomes people from every walk of life whose IQ is in the top 2% of the population. The following multiple-choice exercise is from a Mensa Workout.Following the pattern shown in the number sequence below, what is the missing number?1 8 27 ? 125 2163645 466499