A proportional relationship is described by the equation
... y = k·x
The point (x, y) = (0, 0) is <em>always</em> a solution to this equation.
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In short, if the relationship is proportional, its graph will go through the origin. If the graph does not go through the origin, the relationship is not proportional.
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Note that this is true if the domain includes the origin. You can have y = kx <em>for x > 10 </em>and the graph will <em>not</em> go through the origin because the function is <em>not defined</em> there.
Answer:
the second choice
Step-by-step explanation:
The last two choices could not be correct, because it would need a dashed line. The line under the greater than or less than symbol mean that the line is included in the answer and it will be a solid line like you see in the picture. For both of the top two answers the slope that they y intercept is correct. You just have to decide is the symbol will be greater than or equal to or less than and equal to.
If we put 0 in x for in the form y = mx + b, what would y be?
y = 1/3 x - 1
y = 1/3(0) - 1
y = -1
The ordered pair is (0,1). That is the part that is shaded so that shows us that the second answer is correct.
There is no horizontal asymptote because the numerator has a higher exponent. It has a slant asymptote.
The correct answer is: [D]: " p = 7.50 h " .
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The pay, "p" , is a function of the hours worked.
When h = 2, (h = number of hours);
the pay, "p" , is equal to " 7.50 * 2 " = 15.00 dollars" ; as shown on table.
When h = 4 ; p = " 7.50 * 4 = 30.00 dollars" ; as shown on table .
When h = 6 ; p = " 7.50 * 6 = 45.00 dollars" ; as shown on table.
When h = 8 ; p = " 7.50 * 8 = 60.00 dollars" ; as shown on table.
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Answer:
h ≈ 66.4 ft
Step-by-step explanation:
The situation can be modelled by a right triangle with h representing the height of the tree.
Using the tangent ratio in the right triangle
tan39° = 
= 
( multiply both sides by 82 )
82 × tan39° = h , then
h ≈ 66.4 ft ( to the nearest tenth )
