Answer :
Answer:
he grows by 5 cm every year between 1999 and 2006
Step-by-step explanation:
This is a arithmetic progression problem with the formula;
T_n = a + (n - 1)d
We are told that In 1999 Daniel was 146 cm tall. He grew to be 176 cm by the year 2006.
Thus;
a = 146
d = 2006 - 1999 = 7
Thus;
176 = 146 + (7 - 1)d
176 - 146 = 6d
30 = 6d
d = 30/6
d = 5 cm
Thus, he grows by 5 cm every year between 1999 and 2006
Final answer:
Daniel grew a total of 30 cm from 1999 to 2006. Over this 7-year period, his rate of growth was about 4.29 cm per year.
Explanation:
To find Daniel's rate of growth over the period from 1999 to 2006, we first need to find the total amount that Daniel grew. He grew from 146 cm to 176 cm, so he grew a total of 176 - 146 = 30 cm.
Next, estimate the number of years between 1999 and 2006, which is 7 years.
Finally, to find out how much Daniel grew on average each year, divide the total growth by the number of years. So, 30 cm divided by 7 years equals approximately 4.29 cm per year. This is Daniel's rate of growth each year.
Learn more about the Rate of Growth here:
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