Question

The price of a stock went from $32 to $28. If p is the percent decrease in the value of the stock, which proportion can be used to compute p?

Answer 1

A

Explanation:

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Answer 2

The proportion that can be used to compute p is
`\[(32 - 28)/(32) = (p)/(100)\]`. So, the correct option is A.

The percent decrease (p) can be computed using the following proportion:

`\[\frac{\text{Decrease in value}}{\text{Original value}} = (p)/(100)\]`

In this case, the original value is $32, and the decrease in value is $32 - $28. Substituting these values into the proportion:

`\[(32 - 28)/(32) = (p)/(100)\]`

Therefore, the proportion that can be used to compute p is
`\[(32 - 28)/(32) = (p)/(100)\]`.

Simplify the left side of the equation:

`\[(4)/(32) = (p)/(100)\]`

Reduce the fraction:

`\[(1)/(8) = (p)/(100)\]`

Now, you can solve for (p). Multiply both sides by 100:

`\[100 * (1)/(8) = p\]`

`\[p = 12.5\]`

Therefore, the percent decrease in the value of the stock is 12.5%.