You are going to the movies, movie tickets are $10 for adults and $8 dollars for children. The total amount of money that you can spend is $80. Write an equation to model the situation. What are the x and y intercepts.

10x + 8y = 80

x = adults
y = children

x = 0 > y = 10
y = 0 > x = 8

To solve this problem, let's define some variables:

Let x represent the number of adult tickets.
Let y represent the number of child tickets.

Now, we know that the cost of an adult ticket is $10 and the cost of a child ticket is $8. The total amount of money that can be spent is $80.
So, the equation that models this situation is: 10x + 8y = 80.

To find the x-intercept, we set y = 0 (since the x-intercept is the point where the line crosses the x-axis, and on the x-axis, the value of y is always 0).
So, if we substitute y = 0 into the equation 10x + 8y = 80, we get:
10x + 8(0) = 80
Simplifying, we have: 10x = 80
By dividing both sides of the equation by 10, we find: x = 8.
Therefore, the x-intercept is 8.

To find the y-intercept, we set x = 0 (since the y-intercept is the point where the line crosses the y-axis, and on the y-axis, the value of x is always 0).
So, if we substitute x = 0 into the equation 10x + 8y = 80, we get:
10(0) + 8y = 80
Simplifying, we have: 8y = 80
By dividing both sides of the equation by 8, we find: y = 10.
Therefore, the y-intercept is 10.

In summary, the equation that models the situation is 10x + 8y = 80, the x-intercept is 8, and the y-intercept is 10.