Question

Some students can plant 9 carrots per square foot in the community garden shown. Write a function that can be used to determine the number of carrots the students can plant. Give a reasonable domain for the function. How many carrots can the students plant in a garden that is square with 4-ft side lengths?

Answer 1

So here area of square

`\\ \rm\rightarrowtail x^2`

So students can plant 9carrots

`\\ \rm\rightarrowtail x^2=9`

`\\ \rm\rightarrowtail x=3`

So let carrots be x

`\\ \rm\rightarrowtail (3)/(9)=(4)/(x)`

`\\ \rm\rightarrowtail (1)/(3)=(4)/(x)`

`\\ \rm\rightarrowtail x=12`

Answer 2

144 carrots

Explanation:

Let C stand for the number of carrots that a student can plant.

We are told that carrots may be planted at a density of 9 carrots/ft^2.

Let A be the area, in ft^2, that can be planted with carrots. The area of a rectangle is Base x Length (in feet).

We can therefore write:

C = (9 carrots/ft^2)*A

In the garden shown, the area is A = (4 ft) x (4 ft) = 16 ft^2

C = 9 carrots/ft^2)*(16 ft^2)

C = 144 carrots