Acertain magical substance that is used to make solid magical spheres costs $700 per cubic foot. the power of a magical sphere depends on its surface area, and a magical sphere can be sold for $50 per square foot of surface area. if you are manufacturing such a sphere, what size should you make them to maximize your profit per sphere?

check the picture below.

answer: it is 8

step-by-step explanation:

you know why its 8

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.