Question

The cost of one pound of bananas is greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. Which inequality represents the range of possible pounds purchased? 0.41 < 0.41 less than StartFraction 3.40 over x EndFraction less than 0.50. < 0.50 0.41 < 0.41 less than StartFraction x over 3.40 EndFraction less than 0.50. < 0.50 0.41 < 3.40x < 0.50 0.41 < 3.40 + x < 0.50

Answer 1

The inequality representing the range of possible pounds Sarah could have purchased is 0.41 < x < 8.29.

Step-by-step explanation:

The cost per pound of bananas is given as greater than $0.41 and less than $0.50. Sarah pays $3.40 for x pounds of bananas. We need to find the inequality that represents the range of possible pounds Sarah could have purchased. The correct inequality would relate the total cost Sarah paid with the cost per pound of bananas. Given the price range per pound (0.41 - 0.50) and the total amount paid ($3.40), the inequality that represents the number of pounds of bananas purchased is 0.41 < x < 8.29. This is because $3.40 divided by $0.41 gives us the maximum number of pounds she could have bought, and $3.40 divided by $0.50 gives us the minimum.