Advanced Math practice question

Answer: 50

In f(x) = 250(1.5)ˣ, the base 1.5 is the growth factor per month: each month the colony is multiplied by 1.5, that is, it grows by 1.5 − 1 = 0.5, or 50%.

Common wrong answers

If you answered 150

150% is the size relative to the previous month (1.5 = 150%), not the GROWTH. Growth is the part above 100%: 50%.

If you answered 250

250 is the colony's current size (when x = 0), not a rate.

If you answered 1.5

1.5 is the growth factor, not a percent. Subtract 1 and convert: 0.5 = 50%.

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