Answer:
Equation for the relationship between the weight and number of months -

Step-by-step explanation:
Given
The initial weight of young sumo wrestler just before he decide to gain more weight is equal to
kilo grams.
The new weight of young sumo wrestler after eight months is equal to
kilo grams.
Weight gained by sumo wrestler during the period of eight months

The rate at which weight was gained

kilo grams per month
Let W(t) depict the weight after 8 months
t depict the time period in moths
So the equation would be

Where
Initial weight before 8 months
time in months
Answer:
The answer is -1.
Step-by-step explanation:
Answer:
The spy must have at the start the amount of $1,024 in order to escape
Step-by-step explanation:
Let
a ------> amount of money that the spy must have at the start to escape
y ----> the remaining money
x ----> the number of guards
In this problem the remaining money is going to be reduced by half, every time the spy passes through a guard, so we can use an exponential function of the form

where
a is the initial value (amount of money at the start)
b is the base
b=(1-r)
r is the rate of decay
In this problem we have
r=50% -----> r=0.50
The value of b is
b=(1-0.50)=0.50
substitute

we know that
In order to escape after the fourth guard the amount of money remaining must be equal to $64
so
For x=4, y=$64
substitute in the equation and solve for a




therefore
The spy must have at the start the amount of $1,024 in order to escape
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