Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Get detailed and accurate answers to your questions from a community 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.

If f(3)=5 and f(4)=8 find f(7) and f(8)

Sagot :

f(3) = 5 [5-3=2 diff]
f(4) = 8 [8-4=4 diff] (or 2 times larger than f(3)’s diff)

If that holds true, then continue the pattern:

f(5) = 13 [2 times f(4) diff = 8 so 5 + 8 = 13]
f(6) = 22
f(7) = 39
f(8) = 72

The only problem with my answer is that it could be times 2 or ^2. My answer above assumes times 2.
JoshEast

Answer:  f(7) = 17   &   f(8) = 20

Step-by-step explanation:

We can use f(3) = 5 and f(4) = 8 to write points that we can turn into an equation, and then solve for f(7) and f(8).

f(3) = 5 can be written as (3 , 5)

f(4) = 8 can be written as (4 , 8)

The slope of this line using the slope (y₂ - y₁) ÷ (x₂ - x₁)  = (8 - 5) ÷ (4 - 3)

                                                                                          =  3

The equation of the line can be written in the point-slope form (y - y₁) = m(x - x₁)); where (x₁ , y₁) = (3 , 5):

             y - 5 = 3 (x - 3)

Now, f(7) occurs when x = 7

             y - 5 = 3 (7 - 3)

             y - 5 = 12

                  y  = 17

                       ∴  f(7) = 17

Now, f(8) occurs when x = 8

            y - 5 = 3 (8 -3)

            y - 5 = 15

                 y = 20

                     ∴ f(8) = 20

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.