Questions: You are given 10,000 that will triple every year for the next 5 years. 1. Write an equation that represents this situation where y represents the value of the investment after 5 years. y=18000 x 8^5 2. Your equation has three numbers: starting value, growth factor, and the exponent. You are allowed to double one of these numbers. Which one do you think will result in the highest outcome? Explain your reasoning. 3. Let's find out which one gives the highest outcome! a. Double the starting value b. Double the growth factor c. Double the exponent

1. Write an equation that represents this situation where \( y \) represents the value of the investment after 5 years.

Equation Representation

The value of the investment after 5 years can be represented by the equation \( y = 10000 \times 3^5 \).

\(\boxed{y = 10000 \times 3^5}\)

2. Your equation has three numbers: starting value, growth factor, and the exponent. You are allowed to double one of these numbers. Which one do you think will result in the highest outcome? Explain your reasoning.

Doubling Components

We will explore the effects of doubling each component: the starting value, the growth factor, and the exponent, to determine which yields the highest final value.

\(\boxed{\text{Doubling the exponent will yield the highest outcome.}}\)

3. Let's find out which one gives the highest outcome! a. Double the starting value b. Double the growth factor c. Double the exponent

Calculate Outcomes

The original investment value after 5 years is \( 2430000 \). Doubling the starting value gives \( 4860000 \), doubling the growth factor results in \( 77760000 \), and doubling the exponent results in \( 590490000 \).

\(\boxed{590490000}\)

The equation representing the investment after 5 years is \( y = 10000 \times 3^5 \). Doubling the exponent yields the highest outcome. The highest outcome when doubling the exponent is \( 590490000 \).