Answer:
The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation . Example 1: If y varies directly as x and y = 15 when x = 24 , find x when y = 25 .
Step-by-step explanation:
Hope this helps, mark brainliest
Answer:
x = 12
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x) *6 = (4+23) * 4
(6+x) *6 = 27*4
6(6+x) = 108
Divide each side by 6
6+x =18
Subtract 6 from each side
6+x-6 =18-6
x = 12
We first approach this problem by forming a diagram. Refer to the attachment.
You might notice a right triangle forming when you connect cities A, B, and C. In this case, we'll just need the Pythagorean theorem when solving for the distance between city B and city A.
ANSWER: The distance between city B and city A is 85.96 kilometers.
Answer:
C = 9x -600
Step-by-step explanation:
When the number of parts produced goes up by 500 from 100 to 600, the cost goes up $4500 from 300 to 4800. Thus the average cost of producing a part is $4500/500 = $9.
If that were the total cost of producing a part, then the first 100 parts would cost $9×100 = $900. They only cost $300, so $600 must be subtracted from the value 9x to get the cost.
... C = 9x -600
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<em>Check</em>
100 parts cost 9·100 -600 = 300 . . . agrees with problem statement
600 parts cost 9·600 -600 = 4800 . . . agrees with problem statement
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<em>Comment on the problem statement</em>
The initial statement tells you "cost ... related to the quantity produced." The question then asks you to "find an equation ... relating quantity produced to cost." The latter statement suggests you want the independent variable to be <em>cost</em>, not quantity. Here, we have made <em>quantity</em> be the independent variable, as suggested by the use of C= in the answer form.
