Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

In an exponential function f(x)=a(b)^x it is known that f(5)=15 and f(7)=170. Which of the following is the closest to the value of ;?

Sagot :

Complete question is;

In an exponential function, f(x) = a(b)^x, it is known that f(5) = 15 and f(7) = 170. which of the following is closest to the value of b?

Answer:

b = 3.37

Step-by-step explanation:

The function given is f(x) = a(b)^x,

Now, f(5) = 15, Thus;

15 = a(b)^(5)

Also, f(7) = 170

Thus; 170 = a(b)^(7)

From first equation, a = 15/(b)^(5))

Putting this in second equation;

170 = (15/(b)^(5))) × (b)^(7)

170 = 15b²

b² = 170/15

b² = 11.333

b = √11.333

b = 3.37

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.