Question 30 • Crowley Credit Recovery College Prep Math A
Jackson is comparison shopping for orange juice. He created a table to help him decide which package was the best deal.Orange Juice Cost by PackagePackageCostCost per ounce10 oz bottle$1.99$0.19959 oz bottle$3.33$0.056489 oz bottle$4.99$0.0561 Case of 24 10 oz bottles$34.99$0.145864 oz carton$3.60$0.05625Jackson claims that the order of the best deal to the worst deal (based on cost/oz) is 10 oz bottle, 89 oz bottle, 59 oz bottle, case of 24 10 oz bottles, and 64 oz carton. Which statement about Jackson’s claim is true?
Answer
A
Jackson is correct because he used the length of each decimal to compare the different costs. For example, 0.149 < 0.1457 < 0.05625.
B
Jackson is correct because he compared values in equal place values to compare only the decimals with the same length. For example, 0.0561 < 0.0564 < 0.05625.
C
Jackson is incorrect because he should compare the values in equal place values to compare all the decimals, not just those of the same length. For example, 0.0561 < 0.05625 < 0.0564.
D
Jackson is incorrect because the case of 24 oz bottles is less per ounce than the 59 oz bottle and the 89 oz bottle. For example, 0.1457 < 0.0561 < 0.0564.
Explanation
A lower cost per ounce is a better deal. Write the decimals to the same number of places: 0.0561 = 0.05610, 0.05625, and 0.0564 = 0.05640, so their order from lowest to highest is 0.0561 < 0.05625 < 0.0564. Jackson’s order is incorrect; the 64 oz carton costs less per ounce than the 59 oz bottle, and the 89 oz bottle is the best deal among those three.
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