SOLUTION: A plant whose height is 8 cm, is growing at a rate of 4/5 cm per week. When will its height exceed 13 3/5 cm?
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Question 152269: A plant whose height is 8 cm, is growing at a rate of 4/5 cm per week. When will its height exceed 13 3/5 cm?
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Found 2 solutions by jim_thompson5910, ankor@dixie-net.com:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The starting height is 8 cm, so this means that the constant of the equation is 8. This means that . Since it "is growing at a rate of 4/5 cm per week", the slope is . So the entire equation is
Now convert to an improper fraction
Start with the given equation.
Plug in . This is the same as
Subtract 8 from both sides.
Combine like terms
Multiply both sides by to isolate x.
So the answer is which means that it will take 7 weeks for the plant to reach (and exceed) a height of cm.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A plant whose height is 8 cm, is growing at a rate of 4/5 cm per week. When will its height exceed 13 3/5 cm?
:
Let t = time required to do this;
:
Use decimals here:
.8t + 8 > 13.6
.8t > 13.6 - 8
.8t > 5.6
t >
t > 7 weeks
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