Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $35. For one performance, 40 advance tickets and 25 same-day tickets were sold. The total amount paid for the tickets was $1100. What was the price of each kind of ticket?

Advance tickets-$15

Same-day tickets-$20

Step-by-step explanation:

let x be the cost of advance tickets and y cost of same-day tickets:

Given that there were 40 advance and 25 same-day tickets for a total of $1100:

#Make x the subject in i and substitute in ii:

Hence, advance tickets cost $15 each while same-day tickets cost $20 each.

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.