For a function of , the average rate of change can be found as follows:
So, we only need two points to compute this value. So, in this problem we have a table with several points, but the problem establishes that the ARC we need to find is the one between two points, that is, when x=3 and x=4. In this problem, is the function, so:
Answer:
see below
Step-by-step explanation:
You can use the law of sines to choose the correct answer:
b/c = sin(B)/sin(C) ≈ 0.8
For the first answer choice,
sin(44.3)/sin(60.7) ≈ 0.8009 . . . . . . as close as you expect to get
____
The second answer choice has the wrong ratio of sines.
The third answer choice has B > C, which it cannot be since b < c.
_____
The law of cosines can be used to find "a":
a^2 = b^2 + c^2 -2bc·cos(A) = 102500-100000cos(75°) ≈ 76,618
a ≈ √76618 ≈ 276.8 . . . . . . matches the first answer choice
