Respuesta :
Answer:
A: Day 6
B: 8196 grams (He will become obese for sure)
Step-by-step explanation:
Part A:
As you can infer from the problem, Ali halves his bar everyday, regardless of how the bar is.
Day 1= 32 grams left
Day 2= 16 grams left
Day 3= 8 grams left
Dat 4= 4 grams left
Day 5= 2 grams left
Day 6=1 gram left
He will have one gram left on Day 6
Part B:
This part is basically vice versa. Instead on halving, we need to be doubling. I will do Part a in reverse until Day 14 comes
Day 1= 1
Day 2= 2
Day 3= 4
Day 4= 8
Day 5= 16
Day 6= 32
Day 7 = 64
Day 8= 128
Day 9= 256
Day 10= 512
Day 11= 1024
Day 12= 2048
Day 13= 4096
Day 14= 8192
He will need 8192 grams of chocolate!!!
The number of days when he has only 1 gram left will be 6. And the chocolate needs to weigh to last All 14 days will be 1/256 grams.
What is an exponent?
Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
Ali has a 64 grams bar of chocolate.
On day 1 he eats half of his chocolate.
And on day 2 he eats half of what is left.
He does the same each day.
Then the value of a is 64 grams and b is 1/2.
y = 64 · (1/2)ⁿ
Where n is the number of days.
The number of days when he has only 1 gram left will be
1 = 64 · (1/2)ⁿ
1/64 = (1/2)ⁿ
(1/2)⁶ = (1/2)ⁿ
n = 6
The number of days when he has only 1 gram left will be 6.
The chocolate needs to weigh to last All 14 days will be
y = 64 · (1/2)¹⁴
y = 64 · (1/16384)
y = 1/256 grams
The chocolate needs to weigh to last All 14 days will be 1/256 grams.
More about the exponent link is given below.
https://brainly.com/question/5497425
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