Andy had a snowball (a perfect sphere) with a radius of
3 cm. He wanted the snowball to be bigger, so he spent
4 seconds packing more snow onto it. Each second he
spent packing, the snowball's radius increased by
0.25 cm.
What is the ratio of the current volume of the
snowball to the original volume of the snowball?

The ratio of the current volume to the original one is 2.28

Step-by-step explanation:

Since the radius of the ball increased at a rate of 0.25 cm/s and Andy spent 4 seconds making it bigger, then the ball's radius increased by 4*0.25 = 1 cm. The volume of a sphere is given by:

volume = (4/3)*pi*r³

The original volume of the ball was:

volume1 = (4/3)*3.14*(3)³ = (12.56/3)*27 = 12.56*9 = 113.04 cm³

The final volume of the ball was:

volume2 = (4/3)*3.14*(3 + 1)³ = (12.56/3)*(4)³ = (12.56/3)*64 = 257.95 cm³

The ratio of the current volume of the ball to the original one is:

ratio = volume2/volume1 = 257.95/113.04 = 2.28

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4