Rates like $ per channel is a slope, "m". The added fee is a constant so it's the intercept "b".
y = mx + b
So for the first problem (9)
(a)
y = total cost in dollars
x = number of premium channels
y = 16x + 44
(b) when x = 3 channels
y = 16(3) + 44
y = 92 $
the second problem (10)
(a) every 4 years the tree grows by 12-9=3 ft
So the unit rate or slope will be 3 ft per 4 yrs, (3/4). You can see this also by solving for slope "m" using the given points (4,9) and (8,12).
x = number of years
y = height of tree in ft
y = (3/4)x + b
use one of the points to find the y-intercept "b".
9 = (3/4)(4) + b
9 = 3 + b
9 - 3 = b
6 = b
y = (3/4)x + 6
(b) when x = 16
y = (3/4)(16) + 6
y = 12 + 6
y = 18 ft
Answer:
1. (4,5)
The average rate of change of f(x) remain constant (4). Over the interval (4,5), g(x)=5,2 exceeding the change of f(x).
2. None!! REMAIN CONSTANT AND INCREASE.
The rate of change of f(x) remain constant (4) and g(x) increases.
3. g(x) exceeds the value of f(x)
F(X)=31 < G(X)=35,7
4. EVENTUALLY.
The answer is 2.24
Hope this helps
The first option I believe thank me plz
