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 + 13F > 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.
Q. 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+13F>650Sania 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.
Substitute balloons into inequality: Substitute the number of balloons popped into the inequality.We know that Sania pops 30 balloons, so we substitute B=30 into the inequality 7B + 13F > 650.7(30) + 13F > 650210 + 13F > 650
Solve for F: Solve for F.To find the least number of fruits Sania must slice, we need to isolate F.13F > 650 - 21013F > 440
Divide both sides by 13: Divide both sides by 13 to solve for F.F > \frac{440}{13}F > 33.8461538Since Sania can't slice a fraction of a fruit, she must slice at least the next whole number of fruits, which is 34.
Choose the correct answer: Choose the correct answer.Sania must slice at least 34 fruits to reach her goal, which corresponds to answer (D).
More problems from Modeling with linear inequalities