The economy moves from point a, where it produces 100 units of x and 200 units of y, to point b, where it produces 200 units of
2 answers:
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ANSWER
EXPLANATION
We want to find the number of years that it will take the population to double.
To do this, we have to apply the exponential growth function:
where y = final value
a = initial value
r = rate of growth
t = time (in years)
For the population to double, it means that the final value must be 2 times the initial value:
Substitute the given values into the function above:
To solve further, convert the function from an exponential function to a logarithmic function as follows:
Solve for t:
It will take 9 years for the population to double.
1.5y < -6.75
First, divide both sides by '1.5'.
Second, since 4.5 × 1.5 = 6.5, simplify the fraction to '-4.5'
Answer: y < -4.5
First, divide both sides by '1.5'.
Second, since 4.5 × 1.5 = 6.5, simplify the fraction to '-4.5'
Answer: y < -4.5