The minutes it takes for the pizza to reach half its maximum volume: 27 minutes
The correct answer is an option (E)
"In exponential growth, a quantity slowly increases in the beginning and then increases rapidly. "
For given question,
Pizza dough doubles in volume every 3 minutes and reaches its maximum size in 30 minutes.
We need to find the minutes it takes for the pizza to reach half its maximum volume.
Since the Pizza dough reaches its maximum size in 30 minutes, and it doubles in volume every 3 minutes.
It changes its size almost 30/3 = 10 times in 30 minutes.
Before the Pizza dough reaches its maximum size, it would be at its half size.
Using the exponential growth formula,
V = 2^t
where V is the volume of the Pizza dough and t is the time intervals.
We know, Vmax = 2^10
and V1 = 2^1
Consider, 2^10/ 2^1 = 2^9
This means, the volume of the Pizza dough before it reaches its maximum size would be 2^9
Since all time intervals are multiple of 3, the time it takes for the pizza to reach half its maximum volume would be,
9 x 3 = 27
In 27 minutes, the pizza dough will reach half its maximum volume.
Therefore, the minutes it takes for the pizza to reach half its maximum volume: 27 minutes
The correct answer is an option (E)
Learn more about exponential growth here:
https://brainly.com/question/11487261
#SPJ2
