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Chapter 1: Problem 37

Ten people ordered calculators. The least expensive was \(\$ 19.95\) and the most expensive was \(\$ 39.95\). Half ordered a \(\$ 29.95\) calculator. Select the best estimate of the amount spent on calculators. a. \(\$ 240\) b. \(\$ 310\) c. \(\$ 345\) d. \(\$ 355\)

Short Answer

Expert verified
The best estimate of the amount spent on calculators is \(\$ 310\).

Step by step solution

01

Determine the approximate average price of a calculator

Consider half the people, that is 5, bought calculators at $29.95. Both the lowest and highest price aren't too far from this value, so it can be used as an average price for estimation. So, take this price as the estimated average price per calculator.
02

Calculate the total estimated cost

Multiply this average price by the total number of calculators bought. That is, \(29.95 * 10 = 299.50\).
03

Choose the closest answer

Looking at the options, the closest answer to $299.50 is $310.

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Most popular questions from this chapter

American children ages 2 to 17 spend 19 hours 40 minutes per week watching television. (Source: TV-Turnoff Network) From ages 2 through 17, inclusive, estimate the number of days an American child spends watching television. How many years, to the nearest tenth of a year, is that?

Obtain an estimate for each computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head. Then use a calculator to perform the computation. How reasonable is your estimate when compared to the actual answer? \(39.67 \times 5.5\)

Use inductive reasoning to predict the next line in each sequence of computations. Then use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct. $$ \begin{aligned} 1 \times 9-1 &=8 \\ 21 \times 9-1 &=188 \\ 321 \times 9-1 &=2888 \\ 4321 \times 9-1 &=38,888 \end{aligned} $$

Use inductive reasoning to predict the next line in each sequence of computations. Then use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct. $$ \begin{aligned} 1 \times 8+1 &=9 \\ 12 \times 8+2 &=98 \\ 123 \times 8+3 &=987 \\ 1234 \times 8+4 &=9876 \\ 12,345 \times 8+5 &=98,765 \end{aligned} $$

Use Polya's four-step method in problem solving to solve. A vending machine accepts nickels, dimes, and quarters. Exact change is needed to make a purchase. How many ways can a person with five nickels, three dimes, and two quarters make a 45 -cent purchase from the machine?
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