I need help with this word problem... any suggestions...?
This is a Project that should be ideal for some fruitheads.
You have been selected to estimate the number of trees that will maximize the avocado production per acre for a local grower. By researching other orchards, you discover that at 400 trees per acre each tree will produce an average of 30 pounds of avocados. For each tree that is added to the acre, the average production per tree goes down 0.05 pounds.
Use the given information to build a table of values (I suggest that you increase from the base of 400 by at least 20 trees at a time). Let t be the number of trees above 400 planted per acre and find the total amount of fruit each acre will produce. Find at least 8 sets of values.
Create a scatter diagram and graph the information. This can be done very easily using a program such as Microsoft Excel.
Find a function for the total production of fruit per acre when t trees over 400 trees are planted on one acre.
Estimate how many trees should be planted (total) per acre to produce 12,400 pounds of avocados.
Find the number of trees that should be planted per acre to MAXIMIZE fruit production.
here's what i have so far:
let A= lbs of avocados produced
This is a Project that should be ideal for some fruitheads.
You have been selected to estimate the number of trees that will maximize the avocado production per acre for a local grower. By researching other orchards, you discover that at 400 trees per acre each tree will produce an average of 30 pounds of avocados. For each tree that is added to the acre, the average production per tree goes down 0.05 pounds.
Use the given information to build a table of values (I suggest that you increase from the base of 400 by at least 20 trees at a time). Let t be the number of trees above 400 planted per acre and find the total amount of fruit each acre will produce. Find at least 8 sets of values.
Create a scatter diagram and graph the information. This can be done very easily using a program such as Microsoft Excel.
Find a function for the total production of fruit per acre when t trees over 400 trees are planted on one acre.
Estimate how many trees should be planted (total) per acre to produce 12,400 pounds of avocados.
Find the number of trees that should be planted per acre to MAXIMIZE fruit production.
here's what i have so far:
let A= lbs of avocados produced
Code:
t A
20 12579
40 13178
60 13777
80 14376
100 14975
120 15574
140 16173
160 16772