Answer:
- Downward direction
- The change in dollar value is 0.00125
Step-by-step explanation:
Given
![P_1 = 160](https://img.qammunity.org/2022/formulas/business/high-school/nba4dds8tstdcp0est0txmmh9lvif2atyt.png)
![P_2 = 200](https://img.qammunity.org/2022/formulas/business/high-school/73d31a5vxsfc1l8pug30jzy4im2eshvkxc.png)
Required
Direction and value of dollar change
Value is calculated using
![V = (1)/(P)](https://img.qammunity.org/2022/formulas/business/high-school/nzyxqvmswawat224a0urzucxm5fbl8aml5.png)
When
, the value is:
![V_1 = (1)/(160)](https://img.qammunity.org/2022/formulas/business/high-school/ickdirqk7fv95gkh6uhr1od4liuxck28ry.png)
![V_1 = 0.00625](https://img.qammunity.org/2022/formulas/business/high-school/8jhaazr937o78wi8aam061cg59kowqgp8j.png)
When
, the value is:
![V_2 = (1)/(200)](https://img.qammunity.org/2022/formulas/business/high-school/m77ovb5pzauf9ake01o0mibpiz5p93k01m.png)
![V_2 = 0.005](https://img.qammunity.org/2022/formulas/business/high-school/25jcombkaib4ea2wyhe5zzqos7ab2s543b.png)
So, we have:
![V_1 = 0.00625](https://img.qammunity.org/2022/formulas/business/high-school/8jhaazr937o78wi8aam061cg59kowqgp8j.png)
![V_2 = 0.005](https://img.qammunity.org/2022/formulas/business/high-school/25jcombkaib4ea2wyhe5zzqos7ab2s543b.png)
Notice that
![V_1 > V_2](https://img.qammunity.org/2022/formulas/business/high-school/yuivpn2qjfwy47vx1x3us0k0of36f7vfmz.png)
i.e. the initial value is greater than the new value
Hence, the value of dollar moves down
The change in value is:
![\triangle V = |V_2 - V_1|](https://img.qammunity.org/2022/formulas/business/high-school/k5tt4gao7hn044edmk5x7z6vs7adnxukkq.png)
![\triangle V = |0.005 - 0.00625|](https://img.qammunity.org/2022/formulas/business/high-school/ckgbqydiipck8boq2nzl7eawqyyf39b8hc.png)
![\triangle V = |- 0.00125|](https://img.qammunity.org/2022/formulas/business/high-school/boqt7sgvcg277aakqwj83fupr7jpdi3hc8.png)
Remove absolute sign
![\triangle V = 0.00125](https://img.qammunity.org/2022/formulas/business/high-school/ehh4ejuncipq8rhxbzusruz0duw6f9nt0s.png)
The change in dollar value is 0.00125