Given:
[tex]a=49\text{ and b=7.}[/tex]
a varies directly b.
Required:
We need to find the equation that relates a and b.
Explanation:
Given that a varies directly as b. It can be written as follows.
[tex]a=\beta b[/tex][tex]Substitute\text{ a =49 and b =7 in the equation to find the value of }\beta.[/tex]
[tex]49=\beta(7)[/tex]
Divide both sides by 7.
[tex]\frac{49}{7}=\beta\frac{7}{7}[/tex][tex]\beta=7[/tex][tex]Substitute\text{ }\beta=7\text{ in the equation.}[/tex][tex]a=7b[/tex]
Final answer:
The equation that relates a and b.
[tex]a=7b[/tex]
