Is 600km bigger than 5 m
1 answer:
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Answer:
Part 1) Slope-intercept form
Part 2) The slope of 2.20 tells me the rate per mile and the y-intercept of 2.50 tells me the flat fee
Step-by-step explanation:
Part 1) we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
This is a linear equation in slope intercept form
where
Part 2) we have that
x -----> represent the number of miles
y ----> represent the total charge in dollars
The slope is
---> unit rate
The y-intercept is
----> initial value or flat fee
therefore
The slope of 2.20 tells me the rate per mile and the y-intercept of 2.50 tells me the flat fee
Answer:
5 trees should be planted to maximize the yield per acre,
The maximum yield would be 1250
Step-by-step explanation:
Given,
The original number of trees per acre = 20,
Average pounds of nuts by a tree = 60,
Let x be the times of increment in number of trees,
So, the new number of trees planted per acre = 20 + x
∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,
So, the new number of pounds of nut = (60 - 2x)
Thus, the total yield per acre,
Differentiating with respect to t ( time ),
Again differentiating with respect to t,
For maxima or minima,
⇒ 20 - 4x = 0
⇒ 20 = 4x
⇒ x = 5,
For x = 5, Y''(x) = negative,
Hence, Y(x) is maximum for x = 5,
And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,
i.e. 5 trees should be planted to maximize the yield per acre,
and the maximum yield would be 1250 pounds