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Citrus2011 [14]
2 years ago
15

The employees in a firm earn $8.50 an hour for the first 40 hours per week, and 1.5 times the hourly rate for any hours worked o

ver 40 . How much does an employee who works 52 hours in one week earn
Mathematics
1 answer:
Arada [10]2 years ago
5 0

Answer:

$493.00

Step-by-step explanation:

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The table below shows the amount paid for different numbers of items. Determine if this relationship forms a direct variation. V
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<h2>Answer/Step-by-step explanation:</h2>

Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.

The ratio of between y-variable and x-variable would be constant.

Direct variation can be represented by the equation, y = xk, where k is a constant. Thus,

\frac{y}{x} = k

From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).

Thus, ratio of y to x, \frac{0.50}{1} = 0.5

k = 0.5.

If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into \frac{y}{x} = k, should give us the same constant if proportionality.

Let's check:

When x = 2, and y = 1:

\frac{y}{x} = k,

\frac{1}{2} = 0.5,

When x = 3, y = 1.5:

\frac{1.5}{3} = 0.5,

When x = 5, y = 2.50:

\frac{2.5}{5} = 0.5,

The constant of proportionality is the same. Therefore, the relationship forms a direct variation.

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2 years ago
The data set gives the number of hours it took each of the 10 students in a cooking class to master a particular technique.
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A family recycled 66 cans in February, 94 cans in March, 122 cans in April, and 150 cans in May. If this pattern went from Janua
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Step-by-step explanation:

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Trapezoid CDEF was reflected across the x-axis followed by a 90° rotation about the origin to create the other trapezoid shown o
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Step-by-step explanation:

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The triangle defined by three points on the coordinate plane is congruent with the triangle illustrated:

C) (4,2); (8,2); (4,8) because the corresponding pairs of sides and corresponding pairs of angles are congruent. 

If we plot these points we can observe that they are congruent, we should also solve for the distance of each point between each other to conclude their congruency. 
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2 years ago
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