In order to prepare for the test, Janet purchases an activity tracker to record her steps. Her goal is to walk 10,000 steps each
2 answers:
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Answer:
Number of orange trees = 3528
Step-by-step explanation:
Given: Average annual orange yield = 124 pounds (lbs) per tree
Number of trees = 22 per acre
Each tree produces 124 pounds, so 22 trees will produce
124*22 = 2728 lbs per acre
For every additional tree over 22, 2 pounds per tree is lost.
So, if you add x trees, you lose 2x pounds.
Thus, we have the function:
f(x) = (124 - 2x)*(22 + x) for the added tree(s)
For quadratic equations like this, the maximum(or minimum) is obtained by substituting x= -b/2a into the given equation. a and b are obtained from the general form of a quadratic equation:
Comparing this with f(x), we have that
a = -2 (coefficient of x2)
b = 80 (coefficient of x)
Using these values in x = -b/2a, we get
So, use x = 20 in the maximum function we got earlier
Therefore, the number of oranges that should be planted in order to maximize the number of pounds of oranges per acre = 3528
Answer: y= 3/5x 6.8
Step-by-step explanation: The slope for these coordinates is 3/5 because the difference between 5 and 8 is 3, and the difference between -3 and 5 is 5. The y intercept is 6.8 because only with this y intercept the line goes through the points.
