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Answer:
a. The tax on written checks would make people LESS likely to write checks. Thus, people might start holding more money as CASH. This would INCREASE the currency-deposit ratio.
b. Under this check tax, the money supply would have:
Banks' ability to create money through fractional lending depends on people depositing money on banks and not holding cash themselves. The less cahs held by the public, the more money deposited in banks, the larger the money multiplier.