Constant of proportionality is the constant value of the two proportional quantities, in this problem p and s, where 4 is the factor of proportionality because it is constant or k.
In simple terms, p is in direct proportion to s wherein the increase or decrease in value of s results to the increase or decrease in value of p with 4 the only factor remaining unchanged.
In the above problem, the number 4 is derived from the word square. We all know that a square has 4 sides of equal lengths, therefore, the perimeter is equivalent to the product of 4 and its lenght.
Answer:
In x dollars,
number of book that can be bought = 1
So, In 1 dollar,
number of books that can be bought = 1/x
Hence in 40 dollars,
number of books that can be bought = 40/x
Answer:
15
Step-by-step explanation:
Rate of change is the slope of the tangent which will be the derivative of the function
if f(x) = 3x² - 4
f'(x) = 6x
as the derivative is linear, the average rate of change will occur at the midpoint of the interval
f'(2.5) = 6(2.5) = 15
Answer:
45
Step-by-step explanation:
Replace everything in the equation that has a x to -3:
f(-3)=3(-3)^2-4(-3)+6
Square the -3:
f(-3)=3(9)-4(-3)+6
Multiply/Distribute
f(-3)=27+12+6
Add:
f(-3)=45
Hope this helps!
F= kx
so to get k divide both sides by x
so k = F/x
