Answer:
720 liters
Step-by-step explanation:
In 2019 (a non-leap year)
January has 31 days
February has 28 days
March has 31 days
The Total number of days is 90 days
Each day shows a consumption rate of 8 liters / day
Total consumption = 8 * 90 = 720
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
x=3
multiply 2 to both sides to cancel denominator
subtract 8x from both sides and then divide by 2
It is (c) NML
Because MN and ML is the vertex and the point meeting is M which is the angle.
The M is the angle because the common letter of both vertex is the letter M
Depending on the way you look at the numbers, they are increasing/decreasing by 0.1.
0.36- 0.1 =0.26
0.26-0.1=0.16
0.16-0.1=0.06
0.06-0.1=-0.04
-0.04-0.1=-0.14
(Or vice versa by adding 0.1 starting with -0.14)
Make sense?
