Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 7 - Measurement - 7.4 Problems Solving with Metric Measurement - 7.4 Exercises - Page 507: 4


meter, meter, $17.33 (rounded)

Work Step by Step

The price is $5.50 per meter, so convert 315 cm to meter. It is given $5.50 price is per meter so we need to convert the 315 cm into meter. Step 1 Read the problem. The problem asks for the cost of 315 cm of plastic tubing for science lab. Step 2 Work out a plan. The price is $5.50 per meter, but the amount is given in grams. Convert cm to m (the unit in the price). Then multiply the length by the cost per meter. Step 3 Estimate a reasonable answer. Round the cost of 1 m from $5 to $5.50. There are 100 cm in a 1 m, so 100 cm is $5.50 so 315 cm will be $15. So $15 is our estimate. Step 4 Solve the problem. Use a unit fraction to convert 315 cm to meter. Unit for the answer (m) is in numerator; unit being changed (m) is in denominator so it will divide out. The unit fraction is (1 m)/(100 cm). Multiply 315 cm times the unit fraction 315 cm *(1 m)/(100 cm) = 3.15 m Now multiply 3.15 times the cost per meter. 3.15 m * $5.50 = 17.325= 17.33 Step 5 State the answer. Lanh will pay $17.33, rounded to the nearest cent. Step 6 Check your work. The exact answer of $17.33 is close to our estimate of $15.
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