1. Problem: Brage's hourly wage is inversely proportional to the number of hours he works. When he works 6.5 hours, his hourly wage is 124.
2. Formula: For inverse proportionality, the function is $f(x) = \frac{k}{x}$ where $k$ is a constant.
3. Find $k$ using the given values: $124 = \frac{k}{6.5}$.
4. Multiply both sides by 6.5 to isolate $k$:
$$124 \times 6.5 = \cancel{6.5} \times \frac{k}{\cancel{6.5}}$$
$$k = 806$$
5. The function expressing hourly wage $f(x)$ as a function of hours $x$ is:
$$f(x) = \frac{806}{x}$$
This means the hourly wage decreases as the number of hours worked increases, maintaining the product $806$ constant.
Timelonn Funksjon 16D10C
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