Question
Who Wants the Money, a game show, distributes prizes that are powers of 2 . What is the minimum number of prizes that could be distributed from $\$ 900$ ?
Step 1
The powers of 2 are: - \(2^0 = 1\) - \(2^1 = 2\) - \(2^2 = 4\) - \(2^3 = 8\) - \(2^4 = 16\) - \(2^5 = 32\) - \(2^6 = 64\) - \(2^7 = 128\) - \(2^8 = 256\) - \(2^9 = 512\) - \(2^{10} = 1024\) (this is greater than 900, so we stop here) The relevant powers of 2 Show more…
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A certain game show distributes prizes that are powers of 2. What is the minimum number of prizes that could be distributed from $960? The prizes should be distributed as follows. prize value number of prizes prize value number of prizes $512 $256 $128 $64 $32 $16 $8 $4 $2 $1
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