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Chapter 10: Q31. (page 528)

Determine whether the function y=30-xrepresents exponential growth or decay.

Short Answer

Expert verified

The given function y=30-x representsexponential decay.

Step by step solution

01

Step 1. Write down the given information.

The given function is y=30-x.

02

Step 2. Concept used.

The exponential function is of the form y=abx represents exponential growth if the base b>1 and exponential decay if the base 0<b<1 for all a>0.

03

Step 3. Explanation.

The given function can be re-written as;

y=30鈭�xy=30鈭�1xy=130x

From the concept stated above it can be interpreted that the function y=130x will represent exponential decay because the base (b) of the function y=130x is such that 0<b<1. Hence, the given function y=30-x represents exponential decay.

04

Step 4. Conclusion.

The given function y=30-x represents exponential decay.

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