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.
Volume And Earnings
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.