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Five-Minute Check (over Lesson 3–6) Main Idea and Vocabulary Example 1: Real-World Example Example 2: Graph Solutions of Linear Equations Example 3: Real-World Example Concept Summary: Representing Functions Lesson Menu
Graph data to demonstrate relationships. linear equation Main Idea/Vocabulary
WORK The table shows the number of hours Abby worked and her corresponding earnings. Make a graph of the data to show the relationship between the number of hours Abby worked and her earnings. Example 1
Answer: The ordered pairs (1, 6), (2, 12), (3, 18), and (4, 24) represent this function. Graph the ordered pairs. Example 1
VIDEOS Make a graph of the data in the table that shows the relationship between the amount David would pay and the number of movies he rents. A. B. C. D. A B C D Example 1
Graph Solutions of Linear Equations Graph y = x + 3. Select any four values for the input x. We chose 2, 1, 0, and –1. Substitute these values for x to find the output y. Answer: Four solutions are (2, 5), (1, 4), (0, 3), and (–1, 2). Example 2
Graph y = 3x – 2. A. B. C. D. A B C D Example 2
ANIMALS Blue whales can reach a top speed of 30 miles per hour ANIMALS Blue whales can reach a top speed of 30 miles per hour. The equation d = 30t describes the distance d that a whale swimming at that speed can travel in time t. Assuming that a whale can maintain the speed, represent the function with a graph. Step 1 Select any four values for t. Select only positive numbers because t represents time. Make a function table. Example 3
Step 2 Graph the ordered pairs and draw a line through the points. Answer: Example 3
TRAVEL Susie takes a car trip traveling at an average speed of 55 miles per hour. The equation d = 55t describes the distance d that Susie travels in time t. Represent this function with a graph. A. B. C. D. A B C D Example 3
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Five-Minute Check (over Lesson 3–6) Image Bank Math Tools Solving Equations Using Models Perimeter Solving Equations Two-Step Equations Resources
Find the perimeter of the rectangle. (over Lesson 3-6) Find the perimeter of the rectangle. A. 55.8 cm B. 42.2 cm C. 39.1 cm D. 98 cm A B C D Five Minute Check 1
Find the perimeter of the square. (over Lesson 3-6) Find the perimeter of the square. A. 252 mm B. 3,969 mm C. 189 mm D. 242 mm A B C D Five Minute Check 2
Find the area of the rectangle. (over Lesson 3-6) Find the area of the rectangle. A. 42.2 cm2 B. 558 cm2 C. 55.8 cm2 D. 27.9 cm2 A B C D Five Minute Check 3
Find the area of the square. (over Lesson 3-6) Find the area of the square. A. 3,969 mm2 B. 252 mm2 C. 819 mm2 D. 1,984.5 mm2 A B C D Five Minute Check 4
(over Lesson 3-6) The rectangle has width 3.6 feet and area A feet. Which of the following could be used to find the length of the rectangle? A. B. C. D. A B C D Five Minute Check 5
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