Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
Answer:
see below
Step-by-step explanation:
Part A
Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels
24/3 = 8 dollars/ bushel
Part B
Previous Year Number of Bushels Price of Corn (dollars)
3 21
6 42
9 63
12 84
We can find the rate of change for the previous year by using the slope formula
m = (y2-y1)/(x2-x1)
m = (84-63)/(12-9)
=21 / 3
= 7
The previous year was 7 dollars per bushel
The increase was 8-7 = 1 dollar per bushel
Answer:
Required equation is: 25n = 875
Step-by-step explanation:
Let n be the number of minutes Jonathon read per day
Now
He read for 25 days and total 875 minutes
The equation will be:
We can solve this equation to find the number of minutes each day
Using Division property of Equality
Hence,
Required equation is: 25n = 875
