Question

Will make you brainliest!!!

Answer 1

Answer:

$y=5.63$

Step-by-step explanation:

Given

$y$ varies directly with $x$

This means

$y$ ∝ $x$

This can be written as:

$y=k\ x$

where $k$ is the constant of proportionality.

We know that when $x=8$ then $y=5$. Using this we can find value of $k$.

so, we have

$5=k(8)$

Dividing both sides by 8 to isolate $k$.

$\frac{5}{8}=\frac{k(8)}{8}$

∴ $k=\frac{5}{8}$

when $x=9$ then $y$ will be

$y=\frac{5}{8}\times 9$

∴ $y=\frac{45}{8}\approx 5.63$ (Answer)