16Hit1600
Advanced MathVery hardConstant in an exponential model from two values

Advanced Math practice question

A function of the form f(x) = a · bˣ has f(0) = 6 and f(2) = 54. If b > 0, what is the value of b?

Answer: 3

f(0) = a = 6. Then f(2) = 6b² = 54, so b² = 9 and b = 3.

Common wrong answers

If you answered 6
6 is a.
If you answered 9
9 is b², not b.
If you answered 27
27 is 54/2, treating the exponent as a multiplier.

More Advanced Math questions

Not affiliated with the College Board. SAT is a trademark of the College Board.