as y varies directly with x, the following equation can be established.
y = a * x
from the condition given by the question, we can know that
7.5 = a * 3
a = 7.5 / 3 = 2.5
thus, we can infer that the equation is
y = 2.5 * x
Answer:
[tex]y=2.5x[/tex]
Step-by-step explanation:
We know that y varies directly with: [tex]y[/tex] ∝ [tex]x[/tex].
To convert this proportionality into an equality, we need a constant [tex]k[/tex].
[tex]y[/tex] = [tex]kx[/tex]
We know that [tex]y = 7.5[/tex] when [tex]x=3[/tex] so we can write it as:
[tex]y[/tex] = [tex]kx[/tex]
[tex]7.5[/tex] = [tex]k(3)[/tex]
[tex]k =2.5[/tex]
Now that we know the value of the constant [tex]k[/tex] is equal to [tex]2.5[/tex] , we can write the this relation as:
[tex]y=2.5x[/tex]
