There are two unknowns you are trying to find, and you cannot express one in terms of the other. Describe how you could use alge
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Exponential functions are functions defined by y = ab^x, where a represents the initial value, and b represents the rate
<h3>The equation of a city that has experienced a population growth</h3>The initial population of the city is 10000, and the growth rate of the population is 4%.
So, the exponential equation is:
The initial population of the city is 12000, and the decay rate of the population is 3%.
So, the exponential equation is:
The similarity in both equations is that, they both represent exponential function.
<h3>The year the population of city A exceeds B</h3>In (a) and (b), we have:
---- city A
--- city B
When city A exceeds city B, we have the following inequality
Divide both sides by 10000
Divide both sides by 0.97^x
Take the natural logarithm of both sides
This gives
Solve for x
This means that, the population of city A will exceed city B after 3 years
<h3>The year the population of city A will be at least twice of city B</h3>In (a) and (b), we have:
---- city A
--- city B
When city A is at least twice city B, we have the following inequality
Divide both sides by 10000
Divide both sides by 0.97^x
Take the natural logarithm of both sides
This gives
Solve for x
This means that, the population of city A will be at least twice city B after 13 years
Read more about exponential functions at:
The third data table accurately represents data in the histogram.
If you draw the histogram, it looks like in the .jpeg image enclosed with this answer.
If you draw the histogram, it looks like in the .jpeg image enclosed with this answer.