In his physics class, Mario discovered the height, h, in feet of a bouncing basketball after b bounces is given by the formula: h = 12(2/3)b - what is the height of the ball after 3 bounces?
well, just substitute 3 for the b and evaluate the result.
12*(2/3)^3
To find the height of the ball after 3 bounces, we can substitute the value of 3 for b in the given formula and solve for h.
The formula given is: h = 12(2/3)b
Substitute b = 3 into the formula:
h = 12(2/3)(3)
Now, let's simplify the expression within the brackets:
2/3 multiplied by 3 equals 2.
Substitute this value back into the formula:
h = 12(2)
Now, multiply 12 by 2:
h = 24
Therefore, the height of the ball after 3 bounces is 24 feet.