Question

Suppose that y varies directly with x and y=5 when x=6. What is y when x=5? Be sure to simplify your answer.
Please need help badly!!

Answer 1

Answer:

y = $\frac{25}{6}$

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 5 when x = 6

k = $\frac{y}{x}$ = $\frac{5}{6}$

y = $\frac{5}{6}$ x ← equation of variation

When x = 5, then

y = $\frac{5}{6}$ × 5 = $\frac{25}{6}$

Answer 2

The value of y is 25/6 at x = 5.

What is Direct Variation?

Direct variation is when a variable varies directly in relation to the other variable, when one variable increases the other also increases by some proportion.

a∝ b

a = kb

Here k is the proportionality constant

The y varies directly with x

y = 5, x = 6

y = ? when x = 5

y ∝ x

y = kx

5 = k * 6

k = 5/6

y = (5/6)x

y = (5/6) * 5

y = 25 /6

To know more about Direct Variation

https://brainly.com/question/14254277

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