alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems…

alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. her homework took her more than 60 minutes to complete. the boundary line for the inequality 3x + 4y > 60 is shown. which statement could be true in this situation? alexia completed 8 math problems and 9 science problems. alexia completed 4 math problems and 6 science problems. alexia completed 20 math problems and 10 science problems. alexia completed no math problems and 15 science problems.

Answer

Explanation:

Step1: Define the inequality

The time - spent inequality is (3x + 4y>60), where (x) is the number of math problems and (y) is the number of science problems.

Step2: Test option A

For (x = 8) and (y = 9), substitute into the inequality: (3\times8+4\times9=24 + 36=60). Since (60\not>60), this option is false.

Step3: Test option B

For (x = 4) and (y = 6), substitute into the inequality: (3\times4+4\times6=12 + 24 = 36). Since (36\not>60), this option is false.

Step4: Test option C

For (x = 20) and (y = 10), substitute into the inequality: (3\times20+4\times10=60 + 40=100). Since (100>60), this option is true.

Step5: Test option D

For (x = 0) and (y = 15), substitute into the inequality: (3\times0+4\times15=60). Since (60\not>60), this option is false.

Answer:

Alexia completed 20 math problems and 10 science problems.