britney invested $500 in stocks. after one year, the value of her stocks has increased to $530. britney…

britney invested $500 in stocks. after one year, the value of her stocks has increased to $530. britney wants to use the growth from the first year to estimate future growth. write an exponential equation in the form y = a(b)^x that can model the estimated value of britneys stocks, y, after x years. use whole numbers, decimals, or simplified fractions for the values of a and b. y =

britney invested $500 in stocks. after one year, the value of her stocks has increased to $530. britney wants to use the growth from the first year to estimate future growth. write an exponential equation in the form y = a(b)^x that can model the estimated value of britneys stocks, y, after x years. use whole numbers, decimals, or simplified fractions for the values of a and b. y =

Answer

Explanation:

Step1: Identify the initial - value (a)

The initial investment is $500, so $a = 500$.

Step2: Calculate the growth factor (b)

The value of stocks increased from $500$ to $530$ in one year. The growth factor $b$ is calculated as $\frac{530}{500}=1.06$.

Step3: Write the exponential equation

The exponential equation is $y = 500(1.06)^{x}$.

Answer:

$y = 500(1.06)^{x}$