ASAP PLEASEEE!!! If the price level were to rise from 160 to 200, in what direction and by how much would the value of a dollar change?

Respuesta :

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