Question

sania plays a game in which she pops balloons and slices fruits. she scores 7 points for every balloon she pops and 13 points for every fruit she slices. sanias goal is to score more than 650 points in the game. in the given inequality, b represents the number of balloons sania pops and f represents the number of fruits she slices. if 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.

Explanation:

Step1: Set up the inequality

$7B + 13F > 650$

Step2: Substitute B=30 into inequality

$7(30) + 13F > 650$

Step3: Calculate balloon points

$210 + 13F > 650$

Step4: Isolate the F term

$13F > 650 - 210$
$13F > 440$

Step5: Solve for F

$F > \frac{440}{13} \approx 33.846$

Step6: Round up to whole number

Since F must be an integer, the smallest whole number greater than 33.846 is 34.

Answer:

D. Sania must slice at least 34 fruits.