Y=5/2x+5 because the slope is 5/2 and the y-intercept is 5
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
if Bobs want to make $6000 commission he needs to make $120,000 sales.
*choices d
Step-by-step explanation:
in $3000, the 5% of Bobs commission is $150
*solution
5% is equivalent to 0.05 in decimal
3000 × 0.05 = 150
so just divide the 5% to $6000 to get the sales
*solution
$6000 ÷ 0.05 = $120,000
