Answer:
Part A) 
Part B) Length: 17.5 feet and Width: 14 feet
Step-by-step explanation:
Part A) Create an equation to represent the area of the basketball section A, in terms of the width W.
Let
L ----> the length of the rectangular basketball section
W ---> the width of the rectangular basketball section
we know that
The area of the rectangular basketball section is equal to
----> equation A
The length of the section will be 1.25 times the width of the section
so
----> equation B
substitute equation B in equation A
Part B) Jackson decides to make the area of the basketball section 245 square feet. What are the dimensions, in feet, of the basketball section?
we have
so
solve for W
Find the value of L
substitute the value of W in the equation B
therefore
The dimensions are :
Length: 17.5 feet
Width: 14 feet
Answer:
C
Step-by-step explanation:
C
Enlarging the radius of the ice cream cone will result in a volume that is larger by twice the amount of the scale on the radius. For instance, doubling the radius will make the volume 4 times larger.
Enlarging the height of the ice cream cone will result in a volume that is larger by the same amount as the scale on the height. For instance, doubling the height will make the volume 2 times larger.
Going from these answers, the price will change in the same manner as the volume changes. A doubled volume would be a doubled price; a volume 4 times as large will result in a price 4 times as much.
The volume of a cone is given by the formula
V=(1/3)πr²h
If we double the radius, we then have
V=(1/3)π(2r)²h = (1/3)π(4r²)h = 4(1/3)πr²h.
Doubling the height instead will give us:
V=(1/3)πr²(2h) = 2(1/3)πr²h
