The car loan that she  uses to buy the car will have an APR of 10%. What is the price of the most expensive car that Henry can afford if he finances his new car for 48 months?

If Henry finances his car for 48 months, he can afford a car that costs up to $31,070. This is calculated by taking the total amount of loanable funds (i.e., $30,000) and dividing it by 1 plus the APR (1 + 0.10 = 1.10). The resulting figure is then multiplied by the monthly payments for 48 months ($630.22 x 48 = $30,013) to get an approximate maximum price of $31,070 for the most expensive car Henry can afford with this loan setup.

This calculation takes into account both interest and principal in order to calculate how much money must be repaid over time in order for Henry to stay current on his payments; thus allowing him to stay within his budget when purchasing a vehicle that meets his needs. Additionally, as interest rates change so too will this calculation since APRs are based off prevailing market conditions which can fluctuate substantially from one year to the next. Therefore it is important for individuals such as Henry who seek financing options when buying cars to remain cognizant of these movements in order ensure they do not overextend themselves financially while still receiving quality transportation at a reasonable cost point.