Subjects algebra

Timelonn Funksjon 16D10C

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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.