Answer:
Step-by-step explanation:
To find out how long it will take for Janet's salary to double, we can set up an equation based on the given information.
Let's denote:
- \( S \) as Janet's starting wage (\$6.25),
- \( r \) as her annual raise (\$0.80),
- \( n \) as the number of years.
Janet's salary after \( n \) years can be represented by the equation:
\[ S_n = S + n \times r \]
We want to find the value of \( n \) when her salary doubles, so we set up the equation:
\[ 2S = S + n \times r \]
Substitute the given values:
\[ 2(6.25) = 6.25 + n \times 0.80 \]
\[ 12.50 = 6.25 + 0.80n \]
Now, let's solve for \( n \):
\[ 0.80n = 12.50 - 6.25 \]
\[ 0.80n = 6.25 \]
\[ n = \frac{6.25}{0.80} \]
\[ n \approx 7.81 \]
Since we cannot have a fraction of a year in this context, we round up to the next whole number to ensure Janet's salary has truly doubled.
So, it will take approximately 8 years for Janet's salary to double.
