River Frogs: Use the information and graph below to answer the question. A non-n

Question

River Frogs: Use the information and graph below to answer the question. A non-native species of snake appeared in a large southern swamp in 1995. Shortly thereafter, scientists noticed that a particular species of river frog began to decline exponentially. They suspected that the snakes were eating the frogs at an alarming rate. The scientists made an exponential model to predict the decline in the frog population. The points plotted below come from their exponential model. Note that t is measured in years, the value t-0 corresponds to 1995, and y is the predicted number of remaining frogs in thousands. River Frog Population 120 100 80 . 60 40 20 12 345 678 9 10 11 12 13 14 15

Explanation / Answer

Putting the value of t=0 we should get y=100 as shown the plot above. putting in each of the equations, we get the value of 100 only from A and D (option C is rejected because it represents linear model of the form y=mx+c)

Also, as y becomes 0, t reaches 15, the decimal part 0.8 keeps reducing to 0 unlike in D when raised to power of t. thus option A is correct

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