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two weeks after being planted, a sunflower was eighteen inches tall. After five weeks, it was thirty inches tall. if the sun flower grew at a constant rate, how tall was the sunflower when It was planted?

Sagot :

10" tall

1) Gathering the data

2 weeks 5 weeks

18" tall 30" tall

2) Let's find the initial height of that sunflower since it is not a proportional growth we need to find it through a linear function.

(Since 30/5 = 6 and 18/2=9)

After finding the slope m, let's find the linear coefficient

y=mx +b

18 =2(4) +b

18= 8 +b

18-8=b

b=10

So the rule of that function is y=4x +10

3) Now we can find the initial height. Plugging x=0, where x is the number of weeks we have:

y = 4x +10

y=4(0) +10

y= 10

So the sunflower was 10" tall on the day it was planted.

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