Question

If `y=2.52` when `x=8.4`, what is `y` when `x=2.7`?

Answer 1

When `x = 2.7`, `color(blue)(y = .81)`

Explanation:

`y=2.52` when `x = 8.4`

Create a proportion:
`frac{y_1}{x_1} = frac{y_2}{x_2}`

`frac{2.52}{8.4} = frac{y_2}{2.7}`

Multiply each side by `2.7` to solve the equation:
`y_2 = frac{2.7*2.52}{8.4}`

`y_2 = .81`