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$800 to $249 The other hand, .hat Tutor - Solution Page 1 of 1 | Hawkes Learning | Portal to Test IRENE Question 14. Step 1 of 1 600( 1, 096 ) # 5/12)= $ 1802.51 600 ( 1 0 96 ) 12 Solution Growing linearly, the balance owed on your credit card triples from $600 to $1800 in 12 months. If t balance were growing according to the exponential function f (x) - 600(1 + 0.096)* where x repre he number of months, what would the balance be after 12 months? Round your answer to the near n order to solve this problem, we assume the balance is growing according to the exponential functi (x) = 600(1 + 0.096)*, where the variable x represents the total number of months. Here we are nterested in knowing what the balance would be after 12 months, so substitute 12 for x. X f(x) = 600(1.096)* 6 576x12 = 789 f(12) = 600(1.096) 12 ~1802.51 o the balance after 12 months would be $1802.51. Notice that your answer is close to $1800. Th hat over a short period of time, exponential growth can yield approximately the same results as li rowth. However, unlike linear growth, exponential growth is not constant because each month's proportional to the previous month's growth. Correct Answer: $1802.51 1802.51 600 ( 1 . 096) 6 ( 12) = 600 ( 1.094) 1+ 0. 096 + 1 . 096