If $x=1$, solve for $y$.
$y=3 \cdot 3^x $
y=[?]
Answer (1)
Substitute x = 1 into the equation y = 3 c d o t 3 x .
Calculate 3 1 = 3 .
Multiply 3 c d o t 3 to get 9 .
The final answer is 9 .
Explanation
Understanding the problem We are given the equation y = 3 c d o t 3 x and we need to find the value of y when x = 1 .
Substituting the value of x To find the value of y , we substitute x = 1 into the equation: y = 3 c d o t 3 1
Calculating the value of y Now we simplify the expression: y = 3 c d o t 3 = 9
Final Answer Therefore, when x = 1 , the value of y is 9.
Examples
Imagine you are calculating the growth of a plant. If the plant's height doubles every day, and you start with a height of 3 cm, the equation y = 3 c d o t 2 x models the height y after x days. If you want to know the height after 1 day, you substitute x = 1 into the equation to find y = 3 c d o t 2 1 = 6 cm. This type of exponential growth calculation is useful in many real-world scenarios, such as predicting population growth or calculating compound interest.
