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Mathematics 22 Online
Atsie (atsie):

I need assistance on this. Will medal and fan whoever helps first! ^.^

Atsie (atsie):

|dw:1467121389519:dw|

OpenStudy (baru):

do you know what 'rate of change' means?

Atsie (atsie):

Rate of change is a ratio that describes how much one quantity changes in regard to the change of another quantity. Like when we say "change in y" and "change in x."

OpenStudy (baru):

yes :) so lets look at the numbers in the table, when time =4 weeks height =9 time=6 weeks height = 13.5 so can you try answering these how many weeks have elapsed between the 4th and the 6th week? by how much has the height changed over this duration?

Atsie (atsie):

All good questions! :) But I'm supposed to somehow use Rate of change to figure it out?

OpenStudy (baru):

we'll get there, but for now can you answer those questions i posted

Atsie (atsie):

Two weeks have elapsed between the 4th and 6th right? And the height of the plant has changed/grown three inches more over the course of these two weeks.

OpenStudy (mayankdevnani):

so find the value of rate of change !

OpenStudy (mayankdevnani):

using your definition :- Rate of change is a ratio that describes how much one quantity changes in regard to the change of another quantity. Like when we say "change in y" and "change in x."

OpenStudy (mayankdevnani):

\[\large \bf Rate~of~change=\frac{change~ In~ y}{change~ In~ x}\]

OpenStudy (baru):

yes time elapsed 2 weeks how much has it grown in inches over those weeks?

Atsie (atsie):

About three inches

OpenStudy (baru):

the exact number?

Atsie (atsie):

3.5 ?

OpenStudy (mayankdevnani):

nuu

OpenStudy (baru):

can you check your calculation again

OpenStudy (baru):

how did you get 3.5?

Atsie (atsie):

because of the 13.5. I thought it was half the inch or something.

OpenStudy (baru):

at the fourth week its 9 inches then on the sixth week(two weeks later) its 13.5 inches so by how much has it grown over those two weeks? as in how much has the height changed ?

OpenStudy (mayankdevnani):

in simple way :- |dw:1467123717570:dw| \[\large \bf Rate~of~change=\frac{y_2-y_1}{x_2-x_1}=\frac{y_3-y_2}{x_3-x_2}\]

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