Question

1. Ms. Dawson’s call did a science experiment. The class started out with 650 bacteria cells. The growth rate predicted was 4.75%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 33 h from the start of the experiment. Round to the nearest whole number.

Answer 1

The exponential function is y = 650(1.0475)ˣ

Exponential equation

A Exponential equation is in the form:

y = abˣ

where y, x are variables, b is the multiplier and a is the initial value.

Let y represent the bacteria population after x hours.

a = 650 bacteria

b = 100% + 4.75% = 1.0475

The exponential function is y = 650(1.0475)ˣ

After 33 hours:

y = 650(1.0475)³³ = 3006

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