The algebraic expression for the increase in this month's finance charge due to higher APR is 0.001x .
In the question ,
it is given that ,
Kristin's credit rating was lowered ,
and the credit card company raised the APR from 14% to 15.2% ,
the average daily balance in this month is = $x .
the finance charge for 14% APR is = x*(14%/12)
= 0.01167x
the finance charge for 15.2% APR is = x*(15.2%/12)
= 0.01267x
So , the increase in finance charge is = 0.01267x - 0.01167x
= 0.001x
Therefore , the algebraic expression is 0.001x .
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