[Video] Q23: In 1789, benjamin franklin gave an amount of money to boston, massachusetts. the money was to be invested for 100 years in a trust fund. if the value of the trust fund doubled every n years, which of the following graphs best models the value of the trust fund over time for the 100 years?

Explanation for Question 23 From the Math (Calc) Section on the 2018 May Sat

Question 23 says in 1789, 2 Benjamin Franklin gave an amount of money to Boston, 3 Massachusetts. The money was to be invested for a hundred years in a trust 4 fund. If the value of the trust fund doubled every 10 years, 5 which of the following graphs, best models and the value of the trust plan 6 over time for the 100 years. 7 So what we know here is we know that the money is increasing, 8 that it's always increasing, which tells us that B is wrong because at some 9 points it becomes, uh, 10 it becomes stagnant. And we also know that it's not increasing at a 11 constant rate. It's increasing exponentially. 12 So since it's not increasing at a constant rate, 13 we can eliminate a and since we know it's increasing exponentially, 14 we know that sees the correct answer. The reason that D is wrong is 15 because it's constantly increasing it, 16 doesn't increase and then stay constant for a while and then increase. 17 It's a constant increase. So that tells us that C is correct and D 18 is incorrect.

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