Chapter 9.2, Problem 26IP

To determine

To find : the three solution of the function

Answer to Problem 26IP

The solution of the function are $\left(0,12\right)$ , $\left(1,9\right)$ and $\left(2,6\right)$ .

Explanation of Solution

Given information :

The regular rides cost 3 ticket and children’s rides cost 1 ticket and the linear function is $y=12-3x$

Calculation :

Step 1 Rewrite the equation by solving for $y$

  $\begin{array}{l}3x+y=12\\ 3x-3x+y=12-3x\\ y=12-3x\end{array}$

Step 2 Choosethree value for $x$ and substitute each value into the equation. Choose the value0, 1 and 2.

Step 3Evaluate the expression to find the value of $y$ .

$x$	$y=12-3x$	$y$	$\left(x,y\right)$
0	$y=12-3\left(0\right)$	12	$\left(0,12\right)$
1	$y=12-3\left(1\right)$	9	$\left(1,9\right)$
2	$y=12-3\left(2\right)$	6	$\left(2,6\right)$

Step4 explain each solution.

  $\left(0,12\right)$ The number of regular rides 0 and children’s rides 12

  $\left(1,9\right)$ The number of regular rides and 1children’s rides 9

  $\left(2,6\right)$ The number of regular rides 2 and children’s rides 6

Hence, the solution of the function are $\left(0,12\right)$ , $\left(1,9\right)$ and $\left(2,6\right)$ .