Alocal museum charges $25 per adult and $12 per child for admission fees.

at the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests.

the system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.

12x + 25y = 9,014
x + y = 450

first, place a point on the graph representing the solution to the system of equations.

notice that one of the equations in the system has already been graphed.

then, determine the approximate number of guests that were children and the approximate number of guests that were adults for that day.

tiles:

a. •

b. 450

c. 350

d. 175

e. 200

f. 300

g. 275

there were
that visited the museum

We do not need a graph.

A) 12x + 25y = 9,014

B)  x + y = 450

We multiply equation B) by -12

B) -12x -12y =  -5,400 then we add equation A)

A) 12x + 25y = 9,014

13y = 3,614

y = 278 (adults)

B)  x + 278 = 450

x = 172 (children)

Step-by-step explanation:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

2160ft3

step-by-step explanation: