Subjects algebra

Volume And Earnings

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1. The problem gives the volume formula $v = 8 + 4x$, where $v$ is the volume in milliliters and $x$ is the number of cubes. 2. To find the volume when there are 6 cubes, substitute $x = 6$ into the formula: $$v = 8 + 4(6)$$ 3. Calculate the multiplication: $$v = 8 + 24$$ 4. Add the numbers: $$v = 32$$ 5. So, the volume would be 32 milliliters when there are 6 cubes. --- 6. Aaron starts with $0 in his bank account and earns $12 per hour babysitting. 7. The amount in his account after $x$ hours is given by the linear equation: $$y = 12x$$ where $y$ is the dollars in the account and $x$ is the number of hours. 8. Fill in the table: - For 0 hours: $y = 12 \times 0 = 0$ - For 1 hour: $y = 12 \times 1 = 12$ - For 2 hours: $y = 12 \times 2 = 24$ - For 3 hours: $y = 12 \times 3 = 36$ Final answers: - Volume with 6 cubes: 32 mL - Dollars in account after 0,1,2,3 hours: 0, 12, 24, 36 respectively.