a tree i planted a week ago has grown 6 inches. it was 1 foot tall when it was planted. if it continues at the same rates, how tall will it be 56 days from now?
in 7 days 1.5 times original
56/7 = grew 8 times after reaching 1.5 feet
1 .5 foot * 1.5^8 = 38.4 feet
To find out how tall the tree will be 56 days from now, we first need to determine the growth rate of the tree per day.
Since the tree grew 6 inches in 1 week, we can calculate the average daily growth by dividing the 6 inches by 7 days:
6 inches / 7 days = 0.857 inches per day (rounded to three decimal places).
Now we know the growth rate per day, we can calculate the total growth in 56 days by multiplying the growth rate per day by the number of days:
0.857 inches per day * 56 days = 48 inches (rounded to two decimal places).
To determine the final height, we add the total growth to the initial height of the tree:
1 foot (12 inches) + 48 inches = 60 inches.
Therefore, 56 days from now, the tree will be approximately 60 inches tall.