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andrew-mc [135]
3 years ago
15

Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36? A. 140. B. 165. C. 201.6. D. 176

Mathematics
1 answer:
Margarita [4]3 years ago
6 0
The statement suppose <span>that y varies directly with x is best represented as:

y </span>α x

To make it into equality, we insert a proportionality constant, k:

y= kx

Using the initial conditions, we solve for k.

y= kx
<span>y = 25 when x = 140
</span><span>
25 = k(140)
k = 5/28

Thus, when </span><span>y = 36</span><span>,
</span>
36 =5/28x
x = 201.6 -----> OPTION C
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a=1, b = -7, c = -9. Then the discriminant is b^2 - 4ac, or (-7)^2 - 4(1)(-9), or 85.

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x = -------------------------------- = ------------------------------------

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