Answer:
n=1.25(2.5)^t
Step-by-step explanation:
According to the given statement a factory produces 1,250,000 toys each year
So in n(millions) the initial production = 1.25 million
The increasing rate = 150% = 150/100 = 1.5
Now according to the conditions we have a function:
n = n0(1+r)^t
where n0 is the initial production = 1.25
r = increasing rate =1.5
t = time
Now substitute the values in the function
n=1.25(1+1.5)^t
n=1.25(2.5)^t
Thus the model which can be used to find the number of toys being used is n=1.25(2.5)^t ....
Answer: Our required model is [tex]n=1250000(1.15)^t[/tex]
Step-by-step explanation:
Since we have given that
Number of toys = 1,250,00
Every year is expected to increase by about 150% pr year.
So, initial value = 1250,000
Rate of change = 150%
Let the number of time = t years.
So, we will use "Compound interest":
[tex]n=P(1+\dfrac{r}{100})^t\\\\n=1250000(1+\dfrac{150}{100})^t\\\\n=1250000(1+1.50)^t\\\\n=1250000(1.15)^t[/tex]
Hence, our required model is [tex]n=1250000(1.15)^t[/tex]
