Answer:
a) not proportional
b) proportional; k = 
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
Answer:
65°
Step-by-step explanation:
all angles in a trapezium equate to 360°
R is 115°
115+115=230
360-230=130
130÷2=65
Answer:
$16
Step-by-step explanation: I did the math in the comments.
Answer:
(a) 0.107 million per year
(b) 0.114 million per year
Step-by-step explanation:

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000,
and in 2014,
. Mathematically,


(b) The instantaneous rate of change is determined by finding the differential derivative at that year.
The result of differentiating functions of the firm
(where
is a constant) is
. Let's use in this in finding the derivative of
.

In the year 2014,
.

Answer:
1. 8+(30/(2+4)) = 8+(30/6) = 8+5 = 13
2. ((8+30)/2)+4 = (38/2)+4 = 19+4 = 23
Step-by-step explanation:
:)