Linear equations in one variable

`(p + 3) + 8 = 10`

What value of `p` is the solution to the given equation?

A) `−1`

B) `5`

C) `15`

D) `21` 

Answer: A

To solve for `p`, you first simplify the equation. Subtract `8` from both sides of the equation `(p + 3) + 8 = 10` to get `p + 3 = 2`. Then, subtract `3` from both sides to find that `p = -1`.

The scatterplot shows the relationship between two variables, `x` and `y`. 

Which of the following graphs shows the most appropriate model for the data?

Answer: D

The data points on the scatterplot show a trend that is both increasing and curved. An appropriate model should be a curve that follows this trend, with data points appearing both above and below the line. The model in option D is the only one that is an increasing curve and fits the data points appropriately.