Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm^3 for every m^2 of garden space
At what rate is Riya applying mulch in m^3/m^2

Respuesta :

jushmk
Rate is the change in one variable in relation to another variable. Generally, rate is calculated as follows:

R = ΔV1/ΔV2

Where
R = Rate
ΔV1 = Change in variable 1
ΔV2 = Change in variable 2

In the current scenario,
ΔV1 = 250,000 m^3 of mulch applied
ΔV2 = 1 m^2 of garden space

Therefore,
Rate of applying much is, R = 250,000/1 = 250,000 m^3/m^2

Answer:

0.25 [tex]\frac{m^{3} }{m^{2} }[/tex]

Step-by-step explanation:

Since you need to convert the cm^3 into m^3 then you start off by multiplying [tex]\frac{250,000 cm^{3} }{m^{2} }[/tex] to a fraction that represents m^3 over cm^3.

Like this:

[tex]\frac{250,000 cm^{3} }{m^{2} }[/tex]  ×  [tex]\frac{m^{3} }{1,000,000cm^{3} }[/tex]

Because cm^3 is divided by itself in the equation you cancel them both out and then your left with:

[tex]\frac{250,000m^{3} }{1,000,000m^{2} }[/tex]

And when then you divide 250,000 by 1,000,000 and you get 0.25 [tex]\frac{m^{3} }{m^{2} }[/tex] which is your answer.

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