Cylinder A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490π. What is the percentage change in volume from cylinder A to cylinder B?

50% decrease
75% increase
150% decrease
100% increase

Percentage change is 100% increase.

Step-by-step explanation:

⇒ V(A) = π × 7 × 7 × 5 = 245π

and V(B) = 490π

⇒ % change = [V(B) - V(A)/V(A)] × 100 = (490π - 245π/245π) × 100

                     = 245π/245π × 100 = 100% increase

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6