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.
