Luis has $12 and wants to buy 6.6 pounds of apples. Apples cost $1.80 per pound. Luis rounded each value and estimated that he does not have enough money to cover the cost of the apples before sales tax is applied. Which best explains how his estimate relates to the actual product?

Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples.

Because each value rounds up, his estimate is higher than the actual product. He does not have enough money to buy the apples.

Because each value rounds up, his estimate is lower than the actual product. He does not have enough money to buy the apples.

Because each value rounds up, his estimate is lower than the actual product. He might have enough money to buy the apples.

Question

Karter

Mathematics

26 September, 20:22

Luis has $12 and wants to buy 6.6 pounds of apples. Apples cost $1.80 per pound. Luis rounded each value and estimated that he does not have enough money to cover the cost of the apples before sales tax is applied. Which best explains how his estimate relates to the actual product?

Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples.

Because each value rounds up, his estimate is higher than the actual product. He does not have enough money to buy the apples.

Because each value rounds up, his estimate is lower than the actual product. He does not have enough money to buy the apples.

Because each value rounds up, his estimate is lower than the actual product. He might have enough money to buy the apples.

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Answers (1)

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Peter Whitehead · Answer 1

Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples.

Step-by-step explanation:

We don't actually know what it was that Luis was estimating. Assuming he was estimating the cost of the apples he wants to buy, rounding up both the price and quantity will give an estimate of $2/lb * 7 lb = $14, which is more than he has to spend.

Luis could refine his estimate by realizing the actual price is 10% less than the vaue he used, and the actual quantity is not quite 6% less than the value he used. The amount Luis has is about 14% less than the cost he estimated, so considering estimation errors, he probabaly has enough money.

The best choice among the answers is the one shown above.