The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people.
1 answer:
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Answer:
Option D.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<u><em>Verify each case</em></u>
case A) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line not passes through the origin
therefore
The equation A not represent a proportional relationship
case B) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line not passes through the origin
therefore
The equation B not represent a proportional relationship
case C) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line not passes through the origin
therefore
The equation C not represent a proportional relationship
case D) we have
Remember that
the line must pass through the origin
so
For x=0, y=0
In this case
For x=0
so
The line passes through the origin
therefore
The equation D represent a proportional relationship
Answer:
The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
Step-by-step explanation:
Let us assume that the cost of one muffins be x.
Let us assume that the cost of one 1 quarts of milk be y.
As given
The cost of 8 muffins and 2 quarts of mil is $18.
Than the equation becomes
8x + 2y = 18
As given
The cost of 3 muffins and 1 quart of milk is $7.50.
Than the equation becomes
3x + 1y = 7.50
Two equations are
8x + 2y = 18 and 3x + 1y = 7.50
Multiply 3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .
Thus
8x - 6x + 2y - 2y = 18 - 15
2x = 3
x = 1.5
Put x = 1.5 in 3x + 1y = 7.50
3 × 1.5 + y = 7.50
y = 7.50 - 4.5
y = 3
Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .