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Use the slope formula to determine the rate of change for each pair of consecutive points. The rate of change,. , is constant. So, the function is linear. x y.
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Find the rate of change represented in each table or graph. 62/87,21 To find the rate of change, use the coordinates (3, 6) and (0, 2).
So, the rate of change is. 62/87,21 To find the rate of change, use the coordinates (3, í6) and (5, 2).
So, the rate of change is 4. CCSS SENSE-MAKING
CCSS SENSE-MAKING^ Refer to the graph below. a. Find the rate of change of prices from 2006 to 2008. Explain the meaning of the rate of change. b. (^) Without calculating, find a two±year period that had a greater rate of change than 2006±2008. Explain. c. (^) Between which years would you guess the new stadium was built? Explain your reasoning. 62/87,21 a. (^) To find the rate of change, use the coordinates (2008, 28.73) and (2006, 26.66). So, the rate of change is 1.035, which means there was an average increase in ticket price of $1.035 per year. b. (^) Sample answer: The two±year period that had a greater rate of change than 2006±2008 was 1998±2000. There was a steeper segment, which means a greater rate of change. c. (^) Sample answer: I would guess that the new stadium was built between 1998 and 2000, because the ticket prices show a sharp increase.
Determine whether each function is linear. Write yes or no. Explain.
Find the slope of the line that passes through each pair of points. (5, 3), (6, 9) 62/87,21 So, the slope is 6. (±4, 3), (±2, 1) 62/87,21 So, the slope is í1. (6, ±2), (8, 3) 62/87,21 So, the slope is. (1, 10), (±8, 3)
So, the slope is. (±3, 7), (±3, 4) 62/87,21 Dividing by 0 is undefined. So, the slope is undefined. (5, 2), (±6, 2) 62/87,21 So, the slope is 0. Find the value of r so the line that passes through each pair of points has the given slope.
Find the rate of change represented in each table or graph. 62/87,21 To find the rate of change, use the coordinates (10, 3) and (5, 2). So, the rate of change is. 62/87,21 To find the rate of change, use the coordinates (1, 15) and (2, 9). So, the rate of change is í6. Find the rate of change represented in each table or graph.
Find the rate of change represented in each table or graph. 62/87,21 To find the rate of change, use the coordinates (±3, 7) and (3, ±1). So, the rate of change is.
SPORTS^ What was the annual rate of change from 2004 to 2008 for women participating in college lacrosse? Explain the meaning of the rate of change.
To find the rate of change, use the coordinates (2004, 5545) and (2008, 6830).
So, the rate of change is 321.25. This rate of change means there was an average increase of 321.25 women per year competing in triathlons. RETAIL
RETAIL^ The average retail price in the spring of 2009 for a used car is shown in the table below.
a. Write a linear function to model the price of the car with respect to age. b. (^) Interpret the meaning of the slope of the line. c. (^) Assuming a constant rate of change, predict the average retail price for a 7±year±old car. 62/87,21 a. (^) To find a linear function, find the y - LQWHUFHSWDQGVORSH8VHWKHFRRUGLQDWHV DQG )LQGWKH slope, or rate of change.
Find the y - intercept.
So, a linear function to model the price of the car with respect to age is p = ± 1221 t + 19,820.
b. (^) The slope of ±$1221 represents how much the car value depreciates by each year.
c.
So, the average retail price for a 7-year-old car is $11,273. Determine whether each function is linear. Write yes or no. Explain.
The rate of change is not constant. So, the function is not linear.
The rate of change, , is constant. So, the function is linear.
Find the slope of the line that passes through each pair of points. (4, 3), (±1, 6) 62/87,21 So, the slope is. (8, ±2), (1, 1)
So, the slope is 0. (11, 7), (±6, 2) 62/87,21 So, the slope is. (±3, 5), (3, 6) 62/87,21 So, the slope is. (±3, 2), (7, 2)
So, the slope is 0. (8, 10), (±4, ±6) 62/87,21 So, the slope is. (±8, 6), (±8, 4) 62/87,21 Dividing by 0 is undefined. So, the slope is undefined. (±12, 15), (18, ±13)
Find the value of r so the line that passes through each pair of points has the given slope. (12, 10), (±2, r ), m = ± 4 62/87,21
So, the line goes through (±2, 66). ( r , ±5), (3, 13), m = 8 62/87,21
So, the line goes through.
(3, 5), (±3, r ), m = 62/87,21
So, the line goes through (±3, ). (±2, 8), ( r , 4), m = 62/87,21
So, the line goes through (6, 4). CCSS TOOLS Use a ruler to estimate the slope of each object.
