500= 120+20x, where x is weeks
Subtract 120 from both sides
380=20x
Divide both sides by 20
19=x
19 weeks*7 days per week= 133 days
Final answer: 133 days
Answer:
m = -4
*Pick the option-> (m) is negative
Step-by-step explanation:
Solve this equation with inverse operations;
For it to be a linear equation, the same difference in x must produce the same difference in y always.
Choice A.
difference in x: 2 - 1 = 1
difference in y: -6 - (-2) = -4
difference in x: 3 - 2 = 1
difference in y: -2 - (-6) = 4
A difference of 1 in x gave a difference of -4 in y and another difference of 1 in x gave a difference of 4 in y.
This is not linear.
Choice B.
difference in x: 2 - 1 = 1
difference in y: -5 - (-2) = -3
difference in x: 3 - 2 = 1
difference in y: -9 - (-5) = -4
A difference of 1 in x gave a difference of -3 in y and another difference of 1 in x gave a difference of -4 in y.
This is not linear.
Choice C.
difference in x: 2 - 1 = 1
difference in y: -10 - (-2) = -8
difference in x: 3 - 2 = 1
difference in y: -18 - (-10) = -8
Do the other differences. All differences in y are -8 corresponding to a difference in x of -1.
This is linear.
Choice D.
The differences in y vary. It is not linear.
Answer: Choice C is linear.
In case you want the working out -
You will want to put all these fractions over the same denominator, the lowest common multiple is 180
-2/9
180/9 = 20
20 x -2 = -40/180
A -7/12
180/12 = 15
15 x -7 = -105/180
B -1/15
180/15 = 12
12 x -1 = -12/180
C -1/3
180/3 = 60
60 x -1 = -60/180
D -1/9
180/9 = 20
20 x -1 = -20/180
-105 < -60 < -40 < -20 < -12
A < C < x < D < B
B and D
parallel lines never touch, if that helps.
