Tyler is building a fish tank in the shape of a sphere that has a diameter of 20 inches. based on tyler's research, it is recommended to have no more than 1 goldfish for every 693 cubic inches of water. how many goldfish should tyler buy for his fish tank? (numerical answers expected.)

6 goldfish

Step-by-step explanation:

step 1

Find the volume of the fish tank

we know that the volume of a sphere is

we have

---> the radius is half the diameter

assume

substitute

step 2

we know that

It is recommended to have no more than 1 goldfish for every 693 cubic inches of water

so

using proportion

Find out how  many goldfish should Tyler buy for 4,187 cubic inches of water

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get