Question

All of the answers in the picture. With work please.

Answer 1

Given that:

1. The brown family paid $170 for 3 children and 2 adults

2. The Rodriguez family paid $360 for 4 children and 6 adults

a. if x is the price of a child's ticket and y is the price of an adult's ticket, then the system of equations that models the situation would be:

`\begin{gathered} 3x+2y=170\ldots\ldots\text{.}(1) \\ 4x+6y=360\ldots\ldots\text{.}(2) \end{gathered}`

Note that:

Equation (1) and (2) are the model equations for the Brown family and Rodriguez family respectively

b.

Note that, the red and blue line represents the first and second model equations respectively

c. The coordinates of the point intersection is:

`(x,y)=(30,40)`

d.

The coordinate of the point of intersection (30, 40) means that the price of a child's ticket for the Brown and Rodriguez family is $30, and the cost of an adult's ticket for the Brown and Rodriguez family is $40