Question

The Marcos family consists of 2 adults and 4 children. They spent a total of $40 on circus tickets. Let x represent the cost of an adult ticket, and let y represent the cost of a child’s ticket. Which graph represents the possible costs of the tickets?
On a coordinate plane, a line goes through points (0, 10) and (20, 0).
On a coordinate plane, a line goes through points (0, 20) and (10, 0).
On a coordinate plane, a line goes through points (negative 10, 0) and (0, 20).
On a coordinate plane, a line goes through points (negative 20, 0) and (0, 10).

Answer 1

Answer:

First Option

Step-by-step explanation:

First, we will find the equation for the total cost of the tickets.

Given x = Cost of 1 adult ticket

y = Cost of 1 Child ticket

Total Cost of tickets at $40:

2x + 4y = 40

To find which graph represent the cost of the tickets,

we can substitute x = 0 to find y and vice-versa.

If x = 0 ,

$2(0) + 4y = 40\\4y = 40\\y = \frac{40}{4} \\= 10$

So when x = 0 , y = 10 which gives the coordinates (0,10).

Now if y = 0,

$2x+4(0) = 40\\2x = 40\\x = \frac{40}{2} \\= 20$

So when y = 0 , x = 20 which gives the coordinates (20,0)

This shows that this particular line passes through these 2 points and therefore the answer is the first option.