Subjects algebra

Earnings Rate 65063B

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1. **State the problem:** We need to compare the hourly earning rates of Chris and Sam based on the given information. 2. **Chris's earnings:** The equation is $y = 8.25x$, where $y$ is the total money earned and $x$ is hours worked. 3. **Chris's hourly rate:** From the equation, Chris earns $8.25$ dollars per hour. 4. **Sam's earnings from the table:** - At $x=4$ hours, $y=30$ dollars - At $x=6$ hours, $y=45$ dollars - At $x=8$ hours, $y=60$ dollars 5. **Calculate Sam's hourly rate:** Use the formula for rate: $$\text{rate} = \frac{\text{total money}}{\text{hours}}$$ For $x=4$ hours: $$\frac{30}{4} = 7.5$$ For $x=6$ hours: $$\frac{45}{6} = 7.5$$ For $x=8$ hours: $$\frac{60}{8} = 7.5$$ Sam consistently earns $7.5$ dollars per hour. 6. **Compare the rates:** Chris earns $8.25$ per hour. Sam earns $7.5$ per hour. Find the difference: $$8.25 - 7.5 = 0.75$$ 7. **Interpretation:** Chris earns $0.75$ more per hour than Sam. 8. **Answer:** The correct statement is **D**: Chris earns $0.25$ more per hour than Sam. But note the difference is $0.75$, so the correct choice is **B**: Chris earns $0.75$ more per hour than Sam. **Final answer:** B Chris earns $0.75$ more per hour than Sam.