Solution:
<u>Note that:</u>
- Given equation: 4(k + 1) = k + 10
- To find: 3k
<u>Simplifying the LHS:</u>
- 4(k + 1) = k + 10
- => (4 x k) + (4 x 1) = k + 10
- => 4k + 4 = k + 10
<u>Subtracting k and 4 both sides:</u>
- 4k + 4 - k - 4 = k + 10 - k - 4
- => 3k = 6 (No further solution required)
The value of 3k is 6.
Answer:
Option (G)
Step-by-step explanation:
Volume of the real cane = 96 in³
Volume of the model of a can = 12 in³
Volume scale factor = 
= 

Scale factor of the model = ![\sqrt[3]{\text{Volume scale factor}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Ctext%7BVolume%20scale%20factor%7D%7D)
![=\sqrt[3]{\frac{1}{8}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B8%7D%7D)

Therefore, scale factor of the model of a can =
≈ 1 : 2
Option (G) will be the correct option.
Answer is 120.
(Sorry if photo quality is bad. The camera on my device sucks.)