Question:
Solution:
Consider the following equation:
Equation 1:
![2w=p+40](https://img.qammunity.org/2023/formulas/mathematics/college/vguoi9e01sgvxanagy08zicxzs4ulrfph3.png)
solving for w, this equation is equivalent to:
![w\text{ =}(1)/(2)p+20](https://img.qammunity.org/2023/formulas/mathematics/college/aocd001e2fl0l0osha0mo2v9as6mh02vzx.png)
Note the following facts:
if p = 6, then:
![w\text{ =}(1)/(2)(6)+20=\text{ 3+20=23}](https://img.qammunity.org/2023/formulas/mathematics/college/tvs398jo4njc2ysuxy9o4s628e959vbaow.png)
if p = 10, then:
![w\text{ =}(1)/(2)(10)+20=\text{ 5+20 = 25}](https://img.qammunity.org/2023/formulas/mathematics/college/7o671ot9uwmppcxa0uaek168pd32ggnbap.png)
if p = 16, then:
![w\text{ =}(1)/(2)(16)+20=8+20=28](https://img.qammunity.org/2023/formulas/mathematics/college/zoqpr1tbu7j8e4h7wfrf3dz9xaaypq0a2k.png)
On the other hand, note that equation 1, is equivalent to:
![p=2w-40](https://img.qammunity.org/2023/formulas/mathematics/college/9gn6p4kkcjkk7vdn5erh61nhj3wex8a5fw.png)
thus, w = 32, then:
![p=2(32)-40=24](https://img.qammunity.org/2023/formulas/mathematics/college/q3yu3xyewk6pyddbj9a2dfo1hajqs3adzb.png)
then, we can conclude that the correct answer is: