Answer:
x=
103
/15
y + −28
/15
Step-by-step explanation:
In the table shown below:
Let N be the number of bottles filled,
Let T be the time in hours.
Given that the number of bottles filled is proportional to the amount of time the machine runs, we have
Let's evaluate the value of k for each day.
Thus, on monday,
Tuesday:
Wednesday:
Thursday:
It is observed that all exept wednesday have the same value of k.
Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as
Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.
The y-intercept of the trend line is (0,28). The slope of this line is
28-0
m = --------- = 2
14-0
Thus, the equation of the trend line, in variables K and J, is
K = 2J + 28
Direction: Isolate the variable by dividing each side by factors that don't contain the variable.
Here are the answers for all 15 questions:
1) x < - 2
2) x < 4
3) x > - 15/7
4) y < 28/5
5) x > 6
6) y > - 10/9
7) 0 < 333
8) x > 2
9) x > - 10
10) y > - 3
11) y > - 4
12) x > 3
13) x < 9/8
14) x > - 2
15) h < 7/2
Observing there is a difference of +8 between each f(x).
The slope of this sequence is 8.(y2-y1)/(x2-x1)
Using the point slope equation,
y-y1 = m(x-x1) yields
y = 8x -4 as the answer.