A flower grew by $3 \%$ per week for 5 weeks. If the plant was 2 inches tall to begin with, what was its height after 5 weeks? Preview inches What was the flower's 1-week growth factor? Preview

Step 1 ：The growth factor is the rate of growth, which in this case is 3% per week. However, to use this in calculations, we need to express it as a decimal. So, the growth factor is 1 + 0.03 = 1.03, which can be written as \(1 + 0.03 = 1.03\).

Step 2 ：Now that we have the growth factor, we can calculate the height of the flower after 5 weeks. We do this by multiplying the initial height of the flower by the growth factor raised to the power of the number of weeks. The formula for this is \(final\_height = initial\_height \times (growth\_factor)^{weeks}\).

Step 3 ：Substituting the given values into the formula, we get \(final\_height = 2 \times (1.03)^{5}\).

Step 4 ：Calculating the above expression, we get the final height as approximately 2.32 inches.

Step 5 ：Final Answer: The height of the flower after 5 weeks is approximately \(\boxed{2.32}\) inches.