Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 5 points)
- Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
- What is the system that models this situation?
- Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.
Answer:
(Score for Question 2: ___ of 5 points)
- Seiji and Gavin both worked hard over the summer. Together they earned a total of $425. Gavin earned $25 more than Seiji.
- Write a system of equations for the situation. Use s for the amount Seiji earned and g for the amount Gavin earned.
- Graph the equations in the system.
- Use your graph to estimate how much each person earned.
Answer:
(Score for Question 3: ___ of 5 points)
- Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables.
Sidewalk 1
| x | y |
| 2 | 7 |
| 0 | 3 |
Sidewalk 2
| x | y |
| 1 | 5 |
| 3 | 3 |
- Write the equation for Sidewalk 1 in slope-intercept form.
- Write the equation for Sidewalk 2 in point-slope form and then in slope-intercept form.
- Is the system of equations consistent independent, coincident, or inconsistent? Explain.
- If the two sidewalks intersect, what are the coordinates of the point of intersection? Use the substitution method and show your work.
Answer:
