Question

X = 1, 3, 6, 7

Y = 21, 15, 6, 3
which function models the situation?
f(n) = -3n + 24
f(n) = -1/3n + 16
f(n) = -3n+ 64
f(n) = -1/3n + 8

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the function that models the situation, we can substitute the given values of X and Y into each of the functions and see which one produces the correct values of Y.

Using f(n) = -3n + 24:
- When n = 1, f(1) = -3(1) + 24 = 21
- When n = 3, f(3) = -3(3) + 24 = 15
- When n = 6, f(6) = -3(6) + 24 = 6
- When n = 7, f(7) = -3(7) + 24 = 3

As you can see, this function produces the correct values of Y for the given X values. Therefore, the function that models the situation is f(n) = -3n + 24.