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Chapter 9: Q8. (page 592)

State whether the given sentence is true or false. If false, replace the underlined term to make a true sentence.

An exponential growth equation isy=C1鈭�rt

Short Answer

Expert verified

The sentence, 鈥淭he exponential growth equation is y=C1鈭�rt. 鈥� is false.

The correct replacement for the underlined term to make a true sentence is exponential decay.

Step by step solution

01

Step 1. Define the meaning of a function.

In mathematics, a function is a rule or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

02

Step 2. Define an exponential function.

An exponential function is a function that can be described by an equation of the formy=abx where,a鈮�0,b>0 and b鈮�1.

03

Step 3. Check whether the given sentence is true or false.

The equation in the form y=a1+rtis a general equation for exponential growth.

The equation in the form y=a1+rtis a general equation for exponential decay.

Where,

yis the final amount after time t.

ais the initial amount.

ris the rate of change.

Therefore, the sentence, 鈥淭he exponential growth equation is y=C1鈭�rt.鈥� is false.

The correct replacement for the underlined term to make a true sentence is exponential decay.

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