Three people spend $22.50 on large popcorns and soft drinks. they go back the next week and each pay $8.00 for each ticket, they each get a large soft drink, but they share one large bucket of popcorn. this return trip costs them a total of $37.50. how much is each large soft drink and each large bucket of popcorn?

Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

Step-by-step explanation:

Let the Cost of each large soft drink be x.

Also Let the Cost of each Large bucket of popcorn be y.

Number of people = 3

Money Spend on popcorn and soft drink = $22.50

Hence we can say that;

Next week three people traveled again.

Each ticket was bought = $8.00

Number of tickets bought = 3

Money spend on tickets =

Total return trip = $37.50

Also they each get a large soft drink, but they share one large bucket of popcorn

Cost of Soft drink = 3x

Cost of popcorn = y

Now Total return trip is equal to sum of Money spend on tickets  and Cost of soft drink and Cost of popcorn.

Hence equation can be framed as;

Now Subtracting equation 2 from equation 1 we get;

Now substituting the value of y in equation 1 we get;

Hence Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

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.