Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=57(0.4)^x

Sagot :

sophiew4

Answer:

Decay, 60%

Step-by-step explanation:

Remember that the exponential function is written in the form [tex]y=ab^x[/tex]. In this problem, a=57 and b=0.4. A function is considered a growth function when [tex]b>1[/tex]. Since 0.4 not greater than 1, this is an exponential decay function.

Now, to find the rate of decrease we can use part of the form [tex]y=a(1-r)^x[/tex].

[tex]1-r[/tex] represents the percentage decrease, in this case, 0.4. If that entire term is 0.4, we need to solve for [tex]r[/tex].

[tex]1-r=0.4\\r=0.6[/tex]

So, the rate of percentage decrease is 60%.

I hope this helps!

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.