What is a system of equations for the following situation? A group of 14 people went to see a movie. The cost to go to the movie is $12 for an adult and $8 for a child. The total cost for the group was $144.

144=12x+8y

x+y=14

Step-by-step explanation:

12x + 8 (14 - x ) = $ 144

x + (14-x) = 14

Step-by-step explanation:

Total number of people = 14

Let the number of adults be x and the number of children be ( 14 - x)

Total cost for the group = $144

i.e., 12x + 8 ( 14-x) = 144

12x + 112 - 8x = 144

4x + 112 = 144

4x = 144-112

4x = 32

x = 32/4

x = 8

Number of adults = x = 8

Number of children = 14 - x = 14 - 8 = 6

Hope it helps : )

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)