High School

We appreciate your visit to If a function f has values f 5 12 and f 10 18 use what you have learned about function patterns to find f 20. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

If a function \( f \) has values \( f(5) = 12 \) and \( f(10) = 18 \), use what you have learned about function patterns to find \( f(20) \).

A. 24
B. 30
C. 36
D. 42

Answer :

Final answer:

To find f(20), we can observe that the function f is a continuous probability function between x = 0 and x = 12. Since 5 is in the range of 0 to 12, we can find the slope of the function between f(5) and f(10) using the formula (y2-y1)/(x2-x1). In this case, the slope is (18-12)/(10-5) = 1.2. Therefore, for every 1 unit increase in x, the function increases by 1.2 units. So, between f(10) and f(20), there will be an increase of 1.2(20-10) = 12 units. Adding this increase to f(10) gives us f(20) = 18 + 12 = 30.

Explanation:

To find f(20), we can observe that the function f is a continuous probability function between x = 0 and x = 12. Since 5 is in the range of 0 to 12, we can find the slope of the function between f(5) and f(10) using the formula (y2-y1)/(x2-x1). In this case, the slope is (18-12)/(10-5) = 1.2. Therefore, for every 1 unit increase in x, the function increases by 1.2 units. So, between f(10) and f(20), there will be an increase of 1.2(20-10) = 12 units. Adding this increase to f(10) gives us f(20) = 18 + 12 = 30.

Thanks for taking the time to read If a function f has values f 5 12 and f 10 18 use what you have learned about function patterns to find f 20. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada