math algebra 1

Question

The function f(x) = 200 × (1.098)x represents a village's population while it is growing at the rate of 9.8% per year create a graph that represents the village's population growth.

 

Answer 1

You MEAN The function f(x) = 200(1.098)^x

 

I have corrected the definition of f by 

(1) placing the exponent x over the constant growth factor (1.098 as base)

(2) eliminating the symbol x that you employed as a multiplication symbol. It's not necessary--multiplication is indicated, in algebra, by side-to-side positioning of consecutive factors; in the case of consecutive numbers, parenthesization makes it clear where one constant begins and another ends.

 

THE PRACTICE OF USING X AS A MULTIPLICATION OPERATOR and x as a variable is VERY POOR NOTATION.

Another way that multiplication can be done is by using the big fat dot (•) operator symbol.

 

Now, your instructions are to create a graph. There are many ways to do this, including making a table of x and y values and plotting points. A graphing calculator can do this job, also, if your class is at that level.