Question

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.

Answer 1

8.5x + 2.25x = 10.75x

Answer 2

Thanks

Answer 3

You're welcome.

Answer 4

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

Answer 5

so what is the anwer

Answer 6

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.