Answer:
[tex]y=\frac{306}{7}[/tex] is the answer.
In decimal y = 43.71
Step-by-step explanation:
Given:
y varies directly with x .
Also x = 7 when y = 18
To Find:
y = ? when x = 17
Solution:
y varies directly with x .
i.e. y is directly proportional to x
∴ [tex]y = k\times x[/tex]
Where
k = constant of proportionality {Remain Same}
First we will find constant of proportionality k,
∴ When x = 7 and y = 18 we have
∴ [tex]18 = k\times 7\\\\k=\frac{18}{7}[/tex]
Now when x= 17 and [tex]k=\frac{18}{7}[/tex] we have
∴ [tex]y = k\times x[/tex]
∴ [tex]y=\frac{18}{7}\times 17\\\\y=\frac{306}{7}\\\\ y=43.71[/tex]
