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

The ticket for an adult costs $10 and the ticket for a child costs $7

Let adults tickets be a

Let children tickets be c

Based on the information given, the equation to solve the question will be:

2a + 4c = 48

5a + 2c = 64

Multiply equation i by 5

Multiply equation ii by 2

10a + 20c = 240

10a + 4c = 128

Subtract the equations

16c = 112

c = 112/16

c = 7

The ticket for a child is $7

Since 2a + 4c = 48

2a + 4(7) = 48

2a + 28 = 48

2a = 48 - 28

2a = 20

a = 20/2

a = 10

The ticket for an adult cost $10

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answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: