Question

A radioactive substance decays at a rate of 6% each year. If the initial amount of the substance was 600 grams, create an exponential function to model the decay of the substance. (2 points)
Write the function to model the decay.

f(x)=

(
)x

Question 2
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Two college roommates are studying an invasive species at the local park. What was the size of the population when they began recording data on the invasive species?

A coordinate plane has a y-axis titled Invasive Species Population and an x-axis titled Years. A curved line begins flat at the bottom of quadrant 2, passes through the y-axis, and with a steep curve, continues upward and right to the top of quadrant 1.

(1 point)
When they began recording their data, the population of the invasive species was
. (Round to nearest tens.)

Answer 1

Question 1
f(x) = 600(0.94)^x

Question 2
I can’t read the exact population from the written description alone. The population when they began recording is the y-value where the curve crosses the y‑axis (x = 0). Read that y‑intercept from the graph and round to the nearest ten. If you upload the graph or tell me the y‑intercept value, I’ll round it for you.