Answer:
2500 Square meters
Step-by-step explanation:
Given the garden area (as a function of its width) as:
The maximum possible area occurs when we maximize the area. To do this, we take the derivative, set it equal to zero and solve for w.
A'(w)=-2w+100
-2w+100=0
-2w=-100
w=50 meters
Since Marquise has 200 meters of fencing to build a rectangular garden,
Perimeter of the proposed garden=200 meters
Perimeter=2(l+w)
2(l+50)=200
2l+100=200
2l=200-100=100
l=50 meters
The dimensions that will yield the maximum area are therefore:
Length =50 meters
Width=50 meters
Maximum Area Possible =50 X 50 =<u>2500 square meters.</u>
Answer:
both
Step-by-step explanation:
Answer:
Slope = 0.08 dollars per minutes.
Step-by-step explanation:
Carla pays $20 per month for her phone service, plus $0.08 for each long-distance minute used.
Therefore, if Carla talks for m minutes in the long-distance call, then the situation can be modeled by the equation
C = 20 + 0.08m ............ (1), where C is the total cost for her phone service per month.
Here, 20 is the fixed price and 0.08m is the variable price for her phone charges.
This equation (1) represents a straight line with y-intercept as 20 and the slope as 0.08, where m plotted along x-axis and C is plotted along the y-axis. (Answer)
Answer:
A. $2.89(m)=$40
B. 13 songs
Step-by-step explanation:
$2.89(m)=$40
m=$40/$2.89
m=13.84
She can download a maximum of 13 songs
Check:
$2.89 (13 songs)=$37.57
$40-$37.57=$2.43 left on her gift card
m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43
