At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets is $64. What is the ticket price for on adult and for one child.

One adult ticket costs $12.80

One child ticket costs $5.60

Step-by-step explanation: We know 5 adult tickets cost $64, but we want to know how much 1 costs, so divide 64 by 5, to find the cost for one adult ticket.

64 divided by 5 = 12.8

So, one adult ticket costs $12.80.

At the movie theater we know that the price of 2 adult tickets and 4 child tickets combined was $48.

First multiply $12.80 by 2 to find the cost of two adult tickets, which is $25.60.

Now, subtract $25.60 from $48 to get the amount it costed for 4 child tickets. $48 - $25.60 = $22.40.

So, 4 child tickets cost $22.40, but we want to know how much 1 child ticket costs. So, multiply 22.40 by 4 to get the price for 1 child ticket. 22.40 divided by 4 is 5.6.

So, one child ticket costs $5.60

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.