A scale model of a building is 6in tall. The scale of the model is 1in. :50ft. How tall is the actual building?
1 answer:
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Answer:
Table C
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
Find the value of the constant of proportionality in each table
Table A
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This table has different values of k
therefore
the table A does not represent a proportional relationship
Table B
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For ------>
For ------>
This table has different values of k
therefore
the table B does not represent a proportional relationship
Table C
For ------>
For ------>
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This table has the same value of k
therefore
the table C represent a proportional relationship
Table D
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For ------>
For ------>
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This table has different values of k
therefore
the table D does not represent a proportional relationship
Answer:
f(x) = -19/9(x + 3)² + 5
Step-by-step explanation:
Given the vertex, (-3, 5) and the point, (0, 14):
Use the following quadratic equation formula in vertex form:
f(x) = a(x - h)² + k
where:
(h, k) = vertex
a = determines whether the graph opens up or down, and makes the graph wide or narrow.
<em>h</em><em> </em>= determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Plug in the values of the vertex, (-3, 5) and the given point, (0, 14) to solve for <em>a</em>:
f(x) = a(x - h)² + k
14 = a(0 + 3)² + 5
14 = a(3)² + 5
14 = a(9) + 5
Subtract 5 from both sides:
-14 - 5 = 9a
-19 = 9a
Divide both sides by 9 to solve for a:
-19/9 = 9a/9
-19/9 = a
Therefore, the quadratic function in vertex form is:
f(x) = -19/9(x + 3)² + 5
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