Fulton and Sons, Inc. presently leases a copy machine under an agreement that calls for a fixed fee each month and a charge for each copy made. Fulton made $7,000$ copies and paid a total of $$470$ in March; in May, the firm paid $$410$ for $5,000$ copies. The company uses the high$-$low method to analyze costs.

How much would Fulton pay if it made $6,000$ copies? $($Round your intermediate calculations to $3$ decimal places and final answer to $2$ decimal places.$)$

Multiple Choice

$$362\mathrm{.}50.$

$$302\mathrm{.}00$

$$440\mathrm{.}00$

$$262\mathrm{.}50$

None of the answers is correct.