SOLUTION: A tomato plant is purchased at a garden supply store. The initial height of the plant its 37.6 in. The height of the plant h (in inches) is approximated by h= 22(t+5)^1/3 , where t

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Question 1066143: A tomato plant is purchased at a garden supply store. The initial height of the plant its 37.6 in. The height of the plant h (in inches) is approximated by h= 22(t+5)^1/3 , where t is the time in days after planting.
a. Determine the height of the plant 23 days after planting.
I know the answer to a. is: 67
b. After being planted, it would take approximately ____ days for the plant to reach 4 ft.
So the equation would be: 48=22(t+5)^1/3 correct? When I simplify it I get a fraction. When I divide that fraction, I get the wrong answer. Help???
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
A tomato plant is purchased at a garden supply store. The initial height of the plant its 37.6 in. The height of the plant h (in inches) is approximated by h= 22(t+5)^1/3 , where t is the time in days after planting.
a. Determine the height of the plant 23 days after planting.
I know the answer to a. is: 67
b. After being planted, it would take approximately ____ days for the plant to reach 4 ft.
So the equation would be: 48=22(t+5)^1/3 correct? When I simplify it I get a fraction. When I divide that fraction, I get the wrong answer. Help???

a.
 ------ Substituting 23 for t



b.
4 feet = 48 inches 
 ----------- Substituting 48 for h
 -------------- Dividing by 22
 -------------- Reducing left side
 ------ Raising each side to the 3rd power 

To grow to 4' or 48", time taken, or

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