Solution:
we are given that
A woman has $500 in a bank account.
Every week she writes out a check for $50.
It mean after one week , remaining balance in her account[tex]=500-50 \times 1[/tex]
It mean after Two week , remaining balance in her account[tex]=500-50 \times 2[/tex]
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It mean after x week , remaining balance in her account[tex]=500-50 \times x[/tex]
Hence the correct option is D