Question

one blend of garden soil is 1 part minerals, 1 part peat moss, and 2 parts compost. which of the mixtures below are in a proportional relationship with this blend? select all that apply. a) 5 ft³ minerals, 5 ft³ peat moss, 10 ft³ compost b) 10 ft³ minerals, 15 ft³ peat moss, 15 ft³ compost c) 12 ft³ minerals, 12 ft³ peat moss, 24 ft³ compost d) 20 ft³ minerals, 20 ft³ peat moss, 40 ft³ compost

Explanation:

Step1: Identify the ratio of the original blend

The original blend has a ratio of minerals : peat moss : compost = 1 : 1 : 2.

Step2: Check option A

For option A, the ratio of minerals : peat moss : compost = 5 : 5 : 10. Simplifying by dividing each number by 5 gives 1 : 1 : 2, which is proportional to the original blend.

Step3: Check option B

For option B, the ratio of minerals : peat moss : compost = 10 : 15 : 15. Dividing by 5 gives 2 : 3 : 3, which is not proportional to 1 : 1 : 2.

Step4: Check option C

For option C, the ratio of minerals : peat moss : compost = 12 : 12 : 24. Dividing by 12 gives 1 : 1 : 2, which is proportional to the original blend.

Step5: Check option D

For option D, the ratio of minerals : peat moss : compost = 20 : 20 : 40. Dividing by 20 gives 1 : 1 : 2, which is proportional to the original blend.

Answer:

A. 5 ft³ minerals, 5 ft³ peat moss, 10 ft³ compost
C. 12 ft³ minerals, 12 ft³ peat moss, 24 ft³ compost
D. 20 ft³ minerals, 20 ft³ peat moss, 40 ft³ compost