Math Module 1 Question 13

A student is doing a science project on cultivating microbes. The table shows the exponential relationship between the time $t$, in hours, since the start of the growth and the amount $g$, in grams, of the microbes.
Answer:
C

Explanation

The correct answer is Choice C.

Given that the relationship between time and the amount of the microbes is exponential, an increasing exponential function will be the best fit: $g(t) = g_0 X^t$, where $g_0$ is the initial amount of the microbes and $X$ is the growth factor. Find the two variables and substitute.

Choices A and D are incorrect because the initial number of microbes is not correct, and the growth factor in percentage should be expressed in decimal.

Choice B is incorrect because the initial number of microbes is not correct.

✨ Expert's Tip ✨

An alternate method is to substitute the tabulated values in each of the given functions to verify them.

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