Bamboo is the fastest growing plant, and its maximum growth rate is 91 centimeters a day. If it starts off at 123 centimeters, how tall will it be in 5 days, if it grows at the maximum rate?
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"If it starts off at 123"
Based on the information given we know that the Bamboo we are observing is currently 123cm
"its maximum growth rate is 91cm"
We know that the Bamboo we are observing has the potiential to grow 91cm a day
so we can say growth = 91cm/day
"How tall will it be in 5 days, if it grows at the maximum rate?"
We know that the maximum rate is 91cm/day as we previously stated. Therefore we can decide the 5 day growth by multiplying the maximum rate by 5.
91 \times 5 = 455
We can then add this product by the original known height 123cm
455 + 123 = 578
There you have it, 578cm is how tall it will be if it grows at its maximum rate for five days.
how come my answer is different if i use summation of arithmetic progression?
Thanks for using words to explain what you are doing. It helps those who are unable to understand the problem.
91 cm multiplied to 5(number of days). Product (91 x 5) plus 123 cm.
The bamboo will be 578 centimeters because if it grows 91 centimeters a day and you need to know how tall it is in 5 days you multiply 91 centimeters and 5 days= 455 centimeters. Then you add it to the 123 centimeters that it started from to get 578 centimeters.
The Bamboo grow 9 1 cm/day So, in 5 day the Bamboo will grow 5 × 9 1 = 4 5 5 c m
So, now the tall of Bamboo is 1 2 3 + 4 5 5 = 5 7 8 c m
growth in 5days (91*5)+123 initial length
91x5=answer(455)+123=578
Initial height of the bamboo plant = 123 cm
Since, it is said that bamboo is growing at a rate of 91 cm in a day, so total growth in 5 days = 5 × 9 1 = 4 5 5 cm
Now, the resulting height of the tree = ( 1 2 3 + 4 5 5 ) = 5 7 8 cm
1 day -> 91 cm. 5 day -> 5 * 91 cm =455 cm. In 5 days=123 + 455 cm = 578 cm.
initial length=123cm,and it grows for 5days 91cm/day , the total length of tree= 123+(91*5)=578
91 x 5= 455 455 + 123 = 578 cm
For 5 days 5x91, toatl= 5x91+123
n= no. of days g(rate)= growth rate which is 91 cm/day Ig= Initial growth
g(rate0) \times n + lg= 578
Given:
Note: Always use math rules; such as: PEMDAS, EMDAS, MDAS.
Solution:
(91cm/day*5days)+123cm = 578 cm
First you would multiply 91 by 5, which equals 455 + 123 and your answer would be 578.
Let x = height of bamboo, cm. 91 cm/day = max growth rate of bamboo 123 cm = starting height
Find the height in 5 days.
Then,
x = (5 days * 91 cm/day) + 123 cm x = 578 cm. ANS
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5*91=455 455+123=578