To complete the table of values, we need to use the formulas for both companies:

Company A:

The salary increase is a fixed amount of $2,100 each year. The formula for Isabel's salary at Company A after $t$ years is: $f(t) = 49,000 + 2,100 \times t$

Company B:

The salary increase is a percentage of her salary from the previous year. The formula for Isabel's salary at Company B after $t$ years is: $g(t) = 49,000 \times (1.035)^t$

Now, let's calculate the salaries for each year.

For Company A:

• When $t = 0$, $f(0) = 49,000$.
• When $t = 1$, $f(1) = 49,000 + 2,100 \times 1 = 51,100$.
• When $t = 2$, $f(2) = 49,000 + 2,100 \times 2 = 53,200$.
• When $t = 3$, $f(3) = 49,000 + 2,100 \times 3 = 55,300$.

For Company B:

• When $t = 0$, $g(0) = 49,000$.
• When $t = 1$, $g(1) = 49,000 \times 1.035 = 50,715$.
• When $t = 2$, $g(2) = 49,000 \times 1.035^2 \approx 52,451.025$.
• When $t = 3$, $g(3) = 49,000 \times 1.035^3 \approx 54,206.558$.

Completed Table:

$t$	$f(t)$ (Company A)	$g(t)$ (Company B)
0	49,000	49,000
1	51,100	50,715
2	53,200	52,451.03
3	55,300	54,206.56

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Would you like further clarification or more details on how these calculations were made?

Related Questions:

1. How would the salaries at Company A and Company B compare after 5 years?
2. How would Isabel’s salary at Company A change if the raise was higher (e.g., $3,000 per year)?
3. How does the percentage raise at Company B affect long-term salary growth compared to a fixed salary raise?
4. What would Isabel's salary at Company A be after 10 years?
5. How could inflation affect Isabel’s salary at both companies?

Tip: The percentage raise at Company B results in a compounding effect, which means the increase each year is slightly larger than the previous year’s raise. This is a key difference from the fixed raise at Company A.