Respuesta :

apologiabiology
direct variation is
when x increases, y increases
when x decreases, y decreses

easy

so pick any 2 values or use logic
hmm
x's, from 7 to 10 is increasing
y's from 11 to 17 is increasing
both increaseing
it's direct variation

to find it
we find slope since this probably has a b added
slope=(y2-y1)/(x2-x1)=(13-11)/(8-7)=2/1=2
k=2

Answer:

No, y does not vary directly with x

Step-by-step explanation:

Suppose y varies directly with x,

i.e. y ∝ x

⇒ y = kx,

Where, k is the constant of variation,

If x = 7, y = 11

⇒ 11 = 7k

⇒ k = [tex]\frac{11}{7}[/tex],

Thus, the equation that shows the relation between x and y,

[tex]y=\frac{11}{7}x[/tex]

If x = 8, [tex]y=\frac{88}{7}\neq 13[/tex]

If x = 9, [tex]y=\frac{99}{7}\neq 15[/tex]

If x = 10, [tex]y=\frac{110}{7}\neq 17[/tex]

Hence, our assumption is wrong,

y does not vary directly with x,