Question

Need help with this with a summary and all work shown to help me understand better

Answer 1

Given:

`a=49\text{ and b=7.}`

a varies directly b.

Required:

We need to find the equation that relates a and b.

Step-by-step explanation:

Given that a varies directly as b. It can be written as follows.

`a=\beta b`
`Substitute\text{ a =49 and b =7 in the equation to find the value of }\beta.`

`49=\beta(7)`

Divide both sides by 7.

`(49)/(7)=\beta(7)/(7)`
`\beta=7`
`Substitute\text{ }\beta=7\text{ in the equation.}`
`a=7b`

Final answer:

The equation that relates a and b.

`a=7b`