kellog1 kellog1
  • 24-10-2020
  • Mathematics
contestada

Suppose y varies directly as x, and y = 10 when x = 25. Find y when x = 18.

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Chef1220
Chef1220 Chef1220
  • 24-10-2020
I believe y would equal 3?
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jimrgrant1 jimrgrant1
  • 24-10-2020

Answer:

y = 7.2

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 25, then

10 = 25k ( divide both sides by 25 )

[tex]\frac{10}{25}[/tex] = 0.4 = k

y = 0.4x ← equation of variation

When x = 18, then

y = 0.4 × 18 = 7.2

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