Answer:
- Downward direction
- The change in dollar value is 0.00125
Explanation:
Given
[tex]P_1 = 160[/tex]
[tex]P_2 = 200[/tex]
Required
Direction and value of dollar change
Value is calculated using
[tex]V = \frac{1}{P}[/tex]
When [tex]P_1 = 160[/tex], the value is:
[tex]V_1 = \frac{1}{160}[/tex]
[tex]V_1 = 0.00625[/tex]
When [tex]P_2 = 200[/tex], the value is:
[tex]V_2 = \frac{1}{200}[/tex]
[tex]V_2 = 0.005[/tex]
So, we have:
[tex]V_1 = 0.00625[/tex]
[tex]V_2 = 0.005[/tex]
Notice that [tex]V_1 > V_2[/tex]
i.e. the initial value is greater than the new value
Hence, the value of dollar moves down
The change in value is:
[tex]\triangle V = |V_2 - V_1|[/tex]
[tex]\triangle V = |0.005 - 0.00625|[/tex]
[tex]\triangle V = |- 0.00125|[/tex]
Remove absolute sign
[tex]\triangle V = 0.00125[/tex]
The change in dollar value is 0.00125