Answer:
y = [tex]\frac{25}{6}[/tex]
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 = [tex]\frac{y}{x}[/tex] = [tex]\frac{5}{6}[/tex]
y = [tex]\frac{5}{6}[/tex] x ← equation of variation
When x = 5, then
y = [tex]\frac{5}{6}[/tex] × 5 = [tex]\frac{25}{6}[/tex]
The value of y is 25/6 at x = 5.
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
#SPJ2
