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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?

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 Student class=

Sagot :

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Answer:

144 carrots

Step-by-step 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

So here area of square

[tex]\\ \rm\rightarrowtail x^2[/tex]

So students can plant 9carrots

[tex]\\ \rm\rightarrowtail x^2=9[/tex]

[tex]\\ \rm\rightarrowtail x=3[/tex]

So let carrots be x

[tex]\\ \rm\rightarrowtail \dfrac{3}{9}=\dfrac{4}{x}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{3}=\dfrac{4}{x}[/tex]

[tex]\\ \rm\rightarrowtail x=12[/tex]

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