To complete the table and confirm the values, we will use the equation \( f(x) = 350(1.22)^x \) for different values of \( x \):
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When \( x = 0 \): \[ f(0) = 350(1.22)^0 = 350(1) = 350 \]
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When \( x = 1 \): \[ f(1) = 350(1.22)^1 = 350 \times 1.22 = 427.0 \]
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When \( x = 2 \): \[ f(2) = 350(1.22)^2 = 350 \times 1.4884 \approx 520.9 \]
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When \( x = 3 \): \[ f(3) = 350(1.22)^3 = 350 \times 1.8145 \approx 631.7 \]
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When \( x = 4 \): \[ f(4) = 350(1.22)^4 = 350 \times 2.2074 \approx 769.9 \]
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When \( x = 5 \): \[ f(5) = 350(1.22)^5 = 350 \times 2.6894 \approx 941.3 \] (Note: Previously you had 936.5, but this is the correct calculation from the equation using rounding appropriately.)
Now, the complete table is as follows:
| \( x \) | \( f(x) \) | |:---------:|:------------:| | 0 | 350.0 | | 1 | 427.0 | | 2 | 520.9 | | 3 | 631.7 | | 4 | 769.9 | | 5 | 941.3 |
Question 2
To determine which graph displays the table, you would need to look for a graph showing an exponential growth pattern, where the y-values increase rapidly as \( x \) increases, starting from 350 and going upwards.
- The graph should start at 350 when \( x = 0 \).
- As \( x \) increases, the graph should slope sharply upwards reflecting the 22% growth rate.
You can identify the correct graph by looking for these characteristics. Since I cannot view the graphs you've provided, I recommend selecting the graph that best embodies these features.