Plant A’s height over time is represented by . Plant B’s height is for which represents the number of weeks since the plants were found, and represents the height in inches.

Graphs of two lines on coordinate plane. Horizontal axis, time in weeks, by twos from negative 8 to 8. Vertical axis, height in inches, by twos from negative 4 to 14. Graphs intersect at point negative 6 comma 1. Black line goes through points negative 8 comma 0 and 0 comma 4. Blue line goes through the point 0 comma 2.

1. Which graph goes with which equation? How do you know?
2. What is a pair of values that works for Plant A but not B? What does it represent?
3. What is a pair of values that works for Plant B but not A? What does it represent?
4. What is a pair of values that works for both plants? What does it represent?

1. The height, in centimeters, of Diego’s plant is represented by the equation , where represents the number of weeks since Diego has started nurturing the plant. Decide if each statement is true or false. Explain your reasoning.
   • Diego’s plant shrinks each week.
   • Diego’s plant is 8 centimeters tall when he starts to nurture it.
   • Diego’s plant grows to be 58 centimeters tall.
   • The plant shrinks 4 weeks after Diego begins to nurture it.
2. Write your own true statement about Diego’s plant.

Jada’s quiz grade after hours of studying is given by the equation . Her test grade after hours of studying is given by the equation .

Here’s a graph of both functions:

Graphs of two lines on coordinate plane. Horizontal axis, hours studied, h, by twos from negative 4 to 4. Vertical axis, grade, y, by tens from negative 20 to 100. Graphs intersect at point 1 point 5 comma 85. Black line goes through point 0 comma 70. Blue line goes through the point 0 comma 76.

1. Which graph represents Jada’s quiz grade after hours of studying?
2. What do the -intercepts of the lines mean in this situation?
3. Find the coordinates of the -intercepts.
4. The 2 lines intersect at a point. What does that point represent in this situation?
5. Find the coordinates of the intersection point. Explain or show your reasoning.