4 = y - 4 3 = 9 - y 1 = 8 - y 2 = 9 - y 4 = y - 3
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Answer: Growth factor will be 0.15 and percent increase will be 15%.
Step-by-step explanation:
Since we have given that
the exponential growth function
1) We need to find the growth factor :
As we know the formula for "Compound Interest ":
If we compare the formula with our given equation, we get
So, the growth factor is at the rate of 0.15.
2) Percent increase will be
Hence, growth factor will be 0.15 and percent increase will be 15%.
Answer:
C(t)=5000 -10t
Step-by-step explanation:
There are many examples in the real world of relationships that are functions.
For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.
If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:
Where:
C (t): Amount of water in the tank as a function of time
: Initial amount of water in the tank at time t = 0
a: amount of water lost per hour
t: time in hours
Then the equation is:
The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.
Its domain is the set of all positive real numbers t between [0,500]
Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty
Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres