A worker is paid $18.50 per hour for the first 40 hours of work and time and a half for any overtime exceeding 40 hours per week
1 answer:
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Answer:
Option (4)
Step-by-step explanation:
Proportional relationship means,
y ∝ x
y = kx
Here, k = proportionality constant
Therefore, if the graph of a line passes through the origin (0, 0) table will represent the proportional relationship.
From table 1,
For a point (1, 2)
For another point (3, 2)
In both the cases 'k' is not same of constant.
Therefore, table (1) is not proportional.
For table (2),
Line passes through (2, 0).
That means there is a x-intercept → (2, 0)
Therefore, table doesn't represent a proportional relationship.
For table (3),
Line passes through a point (0, 1)
It means given line has a y-intercept → y = 1
Therefore, table doesn't represent a proportional relationship.
For table (4),
Line of this table passes through two points (1, 3) and (2, 6)
Therefore, proportionality constant for the given table is 3.
Now we can graph table (4).
Answer:
The first car was traveling 70 mph, while the second was driving 50 mph.
Step-by-step explanation:
Set the cars as a proportion:
X represents the speed of the second car. By cross multiplying, you get the following equation:
You solve by distributing 150 to get 210x = 150x + 3000.
Solving for x gets you 50.
That means the first car was going at 50 mph. Adding 20, you get 70 as the speed for the second car.