To fill in the missing elements of the exponential growth equation \( y = ( )x \), we need to know the specific growth factor from the curve shown in the graph.
Generally, the exponential growth equation is expressed as:
\[ y = a \cdot b^x \]
where:
- \( a \) is the initial value (the y-intercept when \( x = 0 \)).
- \( b \) is the growth factor (the factor by which \( y \) increases for each unit increase in \( x \)).
Since I can't see the graph, I cannot provide the exact values for \( a \) and \( b \). However, you can determine these values by identifying the starting point of the curve (y-intercept) and the growth factor based on how much \( y \) increases as \( x \) increases.
To accurately fill out the equation, identify the coordinates of the points the curve passes through and use them to derive \( a \) and \( b \).
If you provide the specific points the curve passes through, I'd be able to help you determine the correct values for the equation!
1 answer