Write an expression for the total of movie tickets and popcorn for a group of friends attending a movie. Movie tickets cost $8.50 each and each friend will have a box of popcorn that cost $2.25.

8.5x + 2.25x = 10.75x

Thanks

You're welcome.

Graph the step function over the interval -2 ≤ x ≤ 2 f (x) = [x + 3]

so what is the anwer

We can graph the step function on the coordinate plane as follows:

First, we draw the horizontal axis for x values between -2 and 2. Then, for each integer value in that range (-2, -1, 0, 1, and 2), we plot a vertical line segment at the corresponding x value, with a height equal to the value of the function at that point.

Since f(x) = [x + 3] is a step function, its value only changes at integer values of x. We can write it as:

f(x) = {
x + 3, for -2 ≤ x < -1
x + 3, for -1 ≤ x < 0
x + 3, for 0 ≤ x < 1
x + 3, for 1 ≤ x ≤ 2
}

Therefore, we can graph it as follows:

| *
| *
| *
| *
| *
| *
_________|____*_____*_________
-2 -1 0 1 2

Here, the vertical line segments represent the function values at the integer values of x. For example, at x = -1, the value of the function is f(-1) = [-1 + 3] = 2, so we draw a line segment at x = -1 from the horizontal axis at y = 2. Similarly, at x = 0, the value of the function is f(0) = [0 + 3] = 3, so we draw a line segment at x = 0 from the horizontal axis at y = 3.

To express the total cost of movie tickets and popcorn for a group of friends attending a movie, you will need to multiply the number of friends by the cost of movie tickets and add the total cost of popcorn.

Let's assume there are "n" friends.

The expression for the total cost of movie tickets would be: 8.50 * n.

The expression for the total cost of popcorn would be: 2.25 * n.

To calculate the overall cost, you can sum the expressions for movie tickets and popcorn:

Total Cost = (8.50 * n) + (2.25 * n)

This equation will give you the total cost in dollars for the group of friends attending the movie.