Its B because 3/10ths is a little bit more than 0.35, but way less than 0.41
The generic equation for a linear function can be expressed in the slope intercept form f(x) = mx + b, where m is the slope and b is the y intercept. For this problem we can first find the equation of the line. Then we substitute x = 7 to get the f(x) value, which is n at the point x = 7.
To find the equation of the linear function we first find the slope. Slope is defined as the change in f(x) divided by the change in x. As we are given a linear function, the slope at every point is the same. We can pick any two points known to find the slope.
Let's pick (3, 7) and (9, 16). The slope m is m = (16-7)/(9-3) = 9/6 = 3/2.
Now that we have the slope, we can plug in the slope and one of the points to find b. Let's use the point (3, 7).
f(x) = mx + b
7 = (1/2)(3) + b
b = 11/2
Now we can write the equation
f(x) = (1/2)x + 11/2
Plugging in x = 7 we find that f(7) = 9. n = 9
Answer:
Step-by-step explanation:
By MVT,
Moreover, 
Hence the largest possible value of f(5) is 13
Answer:
x = -13/3 or -4 1/3 or - 4.333...333
Step-by-step explanation:
-5x - 16 = 8x - 3
-16 = 8x - 3 - 5x
-16 + 3 = 8x - 5x
-13 = 3x
x = -13/3 or -4 1/3 or - 4.333...333
... represents that it has infinite amount of 3's
