A device calculates the worth of gem stones based on quality such that a gem with a quality rating of q - 1 is worth 5

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Source: Princeton Review

A device calculates the worth of gem stones based on quality such that a gem with a quality rating of q - 1 is worth 5 times more than a gem with a quality rating of q. According to this device, the worth of a gem with a quality rating of p - r is how many times greater than that of a gem with a rating of p?

A. \(p^5-r^5\)
B. \(r^5\)
C. \((p-r^5)\)
D. \(5^{(p-r)}\)
E. \(5r\)

The OA is E

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worth of q = q\(_{w}\)
q-1 is 1 less than q and it's worth is 5 x 1 x q\(_{w}\)

p-r is r less than p => its worth is 5xrxp \(_w\)
5r times worth of p

Hence: E

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Bad question. Throw it out. Answer not among choices. Beaten to death and the OP should know that.