Solution Growing linearly, the balance owed on your credit card triples from $700 to $2100 in 9 months. If th ment of $4 balance were growing according to the exponential function f(x) = 700(1 + 0.13)* where x repres number of months, what would the balance be after 9 months? Round your answer to the nearest ce In order to solve this problem, we assume the balance is growing according to the exponential functi f(x) = 700(1 + 0.13)*, where the variable x represents the total number of months. Here we are own payn interested in knowing what the balance would be after 9 months, so substitute 9 for x. months. f(x) = 700(1.13) * - 791 hit) f (9) = 700(1.13) 791 X 9= 7119 ~ 2102.83 So the balance after 9 months would be $2102.83. Notice that your answer is close to $2100. This n expres that over a short period of time, exponential growth can yield approximately the same results as line growth. However, unlike linear growth, exponential growth is not constant because each month's gr proportional to the previous month's growth