5

Question 2: exponential growth and decay ratesRoviewv vour work Irom Unit activities and Focus on problems where growth and decay factors ar discuss0d Whal is the d...

Question

Question 2: exponential growth and decay ratesRoviewv vour work Irom Unit activities and Focus on problems where growth and decay factors ar discuss0d Whal is the dilference belween the phrase "growlh factor" and growth rate Use Ihe exaniple 10(1.05)* t0 explain your IhinkingStale Ihe growth Or decay [ale Ior each example. Example 1;Y 12(1,231)" Example 2, Y 15(0.231)"Example 3: Y 11(2,01)"Example 4: Y =14(0.98)"

Question 2: exponential growth and decay rates Roviewv vour work Irom Unit activities and Focus on problems where growth and decay factors ar discuss0d Whal is the dilference belween the phrase "growlh factor" and growth rate Use Ihe exaniple 10(1.05)* t0 explain your Ihinking Stale Ihe growth Or decay [ale Ior each example. Example 1;Y 12(1,231)" Example 2, Y 15(0.231)" Example 3: Y 11(2,01)" Example 4: Y =14(0.98)"



Answers

Identify each function as exponential growth or decay, and find the growth or decay factor.
$y=0.1 \cdot 2^{x}$

To determine whether this is exponential growth and decay that start by making a table. So we have access sick with zero we have three times one, which is three. If X is one, we have three times 1/2 just three halfs. If you have X is equal to we have three times 1/4 shot 3/4 so received as X increases. Why is decreasing? So we would say this is exponential decay and determine what the factor is received. Every increase in X were multiplying by 1/2 so the factor that it's the king by is 1/2.

Kisses from asked to determine whether or not this is a growth or decay. A function, Um, and so other thing to look at for growth or decay is Thebe base. So normally our function should look like a times B to the X case. A growth factor or decay factor is R B value. So if B is greater than one, then we have a growth in this case. Ah, if his less than one, it's a decay because four is greater than one. Uh, we have a growth. And so our growth factor is equal to four. Thank you. Thank you very much.

So here were given the model. Why is 92 or five to the party first to decide whether it's a growth or the key model. We look at this expression, we see that this expression is point forward, which is less than one. So anything that's less than one is a D K model now Arctic. A factor is this expression here, which is 24 for two or five and the percent decrease so this expression is expressed. Has one minus are so one minus are supposed to find four So far support 2.6 and r percent decreases 0.6 times. Ah, 100 on that 16%. You know, it sounds like you look question.

So in this question, we are given the model. Why 97 1.1 to the phone off. So first we need to understand this is a 50 KR growth models, sort of this expression here, which gives us the care of growth rate. Now this expression is more than one, so it's actually a growth model. We're also asked what the growth rate is, which is basically his value here. So that's 1.1 on the percent increase or decrease. So the percent is basically given us one to us are supposed to 1.41 So our will give us our times. 100 will give us the percentage are Sequels 2.1 sort of percentage here is 1% and that's your answer to the question.


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