Question

Karin is also in Mr. Whittaker’s science class, and she recorded the variation in water level at a different part of the river. Karin observed that the water level there fell 1.68 millimeters per year for 1.5 years. Which expression shows a way to use the distributive property to solve for the total variation in water level at this part of the river?

1.5(-1) + 0.68
1 + (0.5)(-1)(0.68)
(-1.68)(1) + (-1.68)(0.5)
1(-1) + 0.5(-0.68)

Answer 1

(-1.68)(1) + (-1.68)(0.5)

Answer 2

`(-1.68)(1).+(-1.68)(0.5)`

Explanation:

Fell in water level per year = - 1.68 millimeters

Fell in level of water in 1.5 years =
`-1.68 * 1.5`

Now to show this expression according to distributive property.

`-1.68 * 1.5`

`-1.68 * (1.+0.5)`

`(-1.68 * 1).+(-1.68 * 0.5)`

`(-1.68)(1).+(-1.68)(0.5)`

Thus Option C is correct.

Hence The expression shows a way to use the distributive property to solve for the total variation in water level at this part of the river :

`(-1.68)(1).+(-1.68)(0.5)`