Subjects algebra

Pay Experience 7Ffbb7

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1. **State the problem:** We are given the equation of the line of best fit for hourly pay rate $y$ based on years of experience $x$ as $$y = 0.92x + 8.08$$ We need to find: (a) The predicted hourly pay rate for a cashier with 0 years of experience. (b) The predicted increase in hourly pay rate for each additional year of experience. (c) The predicted hourly pay rate for a cashier with 5 years of experience. 2. **Formula and explanation:** The equation is a linear function where $y$ is the hourly pay and $x$ is years of experience. - The constant term $8.08$ represents the pay when $x=0$ (no experience). - The coefficient $0.92$ represents the increase in pay for each additional year of experience. 3. **Solve (a):** Substitute $x=0$ into the equation: $$y = 0.92 \times 0 + 8.08 = 8.08$$ So, the predicted pay with no experience is $8.08$. 4. **Solve (b):** The increase in pay per year is the coefficient of $x$, which is $0.92$. 5. **Solve (c):** Substitute $x=5$ into the equation: $$y = 0.92 \times 5 + 8.08 = 4.6 + 8.08 = 12.68$$ So, the predicted pay for 5 years of experience is $12.68$. **Final answers:** (a) $8.08$ (b) $0.92$ (c) $12.68$