A movie theater charges $8 per movie ticket. How much would it cost for six people? Make a graph to represent the situation.

Let x represent the number of tickets.
Let y represent the cost, in dollars

Write an equation to represent the situation.___________________

Complete the function table.
Number of tickets(x) |0|1|2|3|4|5|6|
Cost in dollars, (y) ( what's the cost in dollars?)

y = 8x

In each case, substitute ticket number for x and solve for y.

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I agree

To find the equation that represents the situation, we need to see the pattern in the given information. We know that the movie theater charges $8 per ticket, so the cost depends on the number of tickets purchased.

From the function table, we can see that the cost increases by $8 for every additional ticket. When there are 0 tickets, the cost is $0. So, we can say that the cost is a linear function of the number of tickets.

Now, let's find the equation. We have two data points from the table: (0, 0) and (6, ?).

The cost when there are no tickets (x = 0) is $0, so one point on the graph is (0, 0).
The cost when there are 6 tickets (x = 6) is unknown, so let's calculate it. Since each ticket costs $8, the total cost for 6 tickets is 6 * $8 = $48.

Therefore, the second point on the graph is (6, 48).

Using these two points, we can calculate the equation of the line using the slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.

Given that the slope (m) is the change in y divided by the change in x, the slope is (48 - 0)/(6 - 0) = 48/6 = 8.

Now we can substitute the slope and one point from the table into the equation:

y - y1 = m(x - x1)
y - 0 = 8(x - 0)
y = 8x

Therefore, the equation that represents the situation is y = 8x.

Now let's complete the function table with the cost in dollars (y) for different numbers of tickets (x):
Number of tickets(x) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Cost in dollars, (y) | $0 | $8 | $16 | $24 | $32 | $40 | $48 |