Sania plays a game in which she pops balloons and slices fruits. Let B represent the number of points Sania must score by popping balloons and F represent the number of points she must score by slicing fruits in order to win the game. 7B+13 F 650 Sania pops 30 balloons in the game. What is the least number of fruits she must slice to reach her goal? Choose 1 answer: (A) Sania must slice at least 13 fruits. B) Sania must slice at least 30 fruits. (C) Sania must slice at least 33 fruits. (D) Sania must slice at least 34 fruits.

Question

Sania plays a game in which she pops balloons and slices fruits. Let  B represent the number of points Sania must score by popping balloons and  F represent the number of points she must score by slicing fruits in order to win the game.  7B+13 F > 650 Sania pops 30 balloons in the game. What is the least number of fruits she must slice to reach her goal? Choose 1 answer: (A) Sania must slice at least 13 fruits. B) Sania must slice at least 30 fruits. (C) Sania must slice at least 33 fruits. (D) Sania must slice at least 34 fruits.

Bytelearn · Accepted Answer

Substitute balloons in inequality: Substitute the number of balloons Sania pops into the inequality. Sania pops 30 balloons, so we substitute B with 30 in the inequality 7B + 13F > 650. 7(30) + 13F > 650Perform multiplication for balloons: Perform the multiplication to find the points from balloons. 7 * 30 = 210 So, 210 + 13F > 650Isolate term with F: Subtract the points from balloons from both sides of the inequality to isolate the term with F. 210 + 13F - 210 > 650 - 210 13F > 440Divide to solve for F: Divide both sides of the inequality by 13 to solve for F. 13F / 13 > 440 / 13 F > 440 / 13Find minimum fruits to slice: Perform the division to find the minimum number of fruits Sania must slice. 440 / 13 ≈ 33.846 Since Sania cannot slice a fraction of a fruit, she must slice at least 34 fruits to exceed the goal.

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