Kiran and his cousin work during the summer for a landscaping company.

Kiran's cousin has been working for the company longer, so his pay is 30% more than Kiran's.

Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned \$493.85.

What is Kiran's hourly pay? Explain or show your reasoning.

Clare and Noah play a game in which they earn the same number of points for each goal and lose the same number of points for each penalty.

Clare makes 6 goals and 3 penalties, ending the game with 6 points.

Noah earns 8 goals and 9 penalties and ends the game with \(\text-22\) points.

1. Write a system of equations that describes Clare's and Noah's outcomes. Use \(x\) to represent the number of points for a goal and \(y\) to represent the number of points for a penalty.

2. Solve the system. What does your solution mean?

Solve: \(\begin{cases} y=6x-8 \\ y=\text-3x+10 \\ \end{cases}\)

1. Estimate the coordinates of the point where the two lines meet.

   

   <p>The graph of two intersecting lines in the xy-plane. Scale negative 1 through 5 on both axes. The first line slants upward and right, crosses y axis at 0, and passes through the point 3 comma 2. The second line slants downward and to the right, crosses the y axis at 6, and passes through the point 2 comma 1.</p>  

2. Select 2 equations that make up the system represented by the graph.

   1. \(y=\frac54x\)
   2. \(y=6-2.5x\)
   3. \(y=2.5x+6\)
   4. \(y=6-3x\)
   5. \(y=0.8x\)
3. Solve the system of equations and confirm the accuracy of your estimate.