IM 8.4.15 Practice: Writing Systems of Equations
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.
Decide which story can be represented by the system of equations and .
Explain 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 points. Write a system of equations that describes Clare and Noah's outcomes. Use to represent the number of points for a goal and to represent the number of points for a penalty.
Solve the system. What does your solution mean?
Solve:
Estimate the coordinates of the point where the two lines meet.
Choose two equations that make up the system represented by the graph.
Solve the system of equations and confirm the accuracy of your estimate.