Questions: Shawn invested 40 and tripled his money in five years. Ashley also invested 40, and after five years the amount was equal to 40 to the third power. Who had more money after five years? Explain. Select the correct choice and fill in the answer boxes to complete your choice. A. Shawn had more money after five years. Ashley had 40 times 3= after five years, but Shawn had 40 times 40 times 40= , or 40^3. B. Ashley had more money after five years. Shawn had 40 times 3= 120 after five years, but Ashley had 40 times 40 times 40= 64,000, or 40^3.

Shawn invested 40 and tripled his money in five years. Ashley also invested 40, and after five years the amount was equal to 40 to the third power. Who had more money after five years? Explain.

Select the correct choice and fill in the answer boxes to complete your choice.
A. Shawn had more money after five years. Ashley had 40 times 3= after five years, but Shawn had 40 times 40 times 40= , or 40^3.
B. Ashley had more money after five years. Shawn had 40 times 3= 120 after five years, but Ashley had 40 times 40 times 40= 64,000, or 40^3.

Transcript text: Shawn invested $\$ 40$ and tripled his money in five years. Ashley also invested $\$ 40$, and after five years the amount was equal to 40 to the third power. Who had more money after five years? Explain. Select the correct choice and fill in the answer boxes to complete your choice. A. Shawn had more money after five years. Ashley had $\$ 40 \times 3=\$ \square$ after five years, but Shawn had $40 \times 40 \times 40=\$$ $\square$ , or $\$ 40^{3}$. B. Ashley had more money after five years. Shawn had $\$ 40 \times 3=\$ 120$ after five years, but Ashley had $40 \times 40 \times 40=\$ 64,000$, or $\$ 40^{3}$.

Solution

Solution Steps

To determine who had more money after five years, we need to calculate the final amounts for both Shawn and Ashley. Shawn tripled his initial investment, while Ashley's investment grew to 40 raised to the third power. We will compare these two amounts to determine who had more money.

Solution Approach

Calculate Shawn's final amount by tripling his initial investment of $40.
Calculate Ashley's final amount by raising $40 to the power of 3.
Compare the two amounts to determine who had more money.

Step 1: Calculate Shawn's Final Amount

Shawn invested $ \$40 $ and tripled his money after five years. Therefore, his final amount can be calculated as: \[ \text{Shawn's final amount} = 40 \times 3 = 120 \]

Step 2: Calculate Ashley's Final Amount

Ashley also invested $ \$40 $, but her investment grew to $ 40^3 $ after five years. Thus, her final amount is: \[ \text{Ashley's final amount} = 40^3 = 64000 \]

Step 3: Compare the Final Amounts

Now we compare the final amounts of Shawn and Ashley: