Exam 8: The Slope of a Line

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z varies jointly with x and the square of y . If z is 54 when x and y are 3, find z when x = 2 and y = 6. z = __________

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r is inversely proportional to s . If r is 5 when s is 4, find s when r is 100.

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Let Let   and   . Find the function   . and Let   and   . Find the function   . . Find the function Let   and   . Find the function   . .

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Let Let   and   Evaluate  and Let   and   Evaluate  Evaluate Let   and   Evaluate

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Let Let   Evaluate  Evaluate Let   Evaluate

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y varies directly with x . If y is - 24 when x is 4, find x when y is - 42. x = __________

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Find the slope of the line through the pair of points (- 2, - 6) and (2, 3). Then, plot the points, draw a line through them, and indicate the rise and run on the graph.

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Let Let   and   . Find the function   . and Let   and   . Find the function   . . Find the function Let   and   . Find the function   . .

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Write the equation of the line with the slope m = 0 and y -intercept b = 5.

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Which line has a positive slope? Which line has a positive slope?

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The length a spring stretches is directly proportional to the force applied. If a force of 5 pounds stretches a spring 2 inches, how much force is necessary to stretch the same spring 13 inches?

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The surface area of a hollow cylinder varies jointly with the height and radius of the cylinder. If a cylinder with radius 3 inches and height 9 inches has a surface area of 86 square inches, what is the surface area of a cylinder with radius 8 inches and height 16 inches?

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Find the slope of the line from the graph. Find the slope of the line from the graph.

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The length a spring stretches is directly proportional to the force applied. If a force of 8 pounds stretches a spring 7 inches, how much force is necessary to stretch the same spring 12 inches?

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Let Let   and   Evaluate     __________ and Let   and   Evaluate     __________ Evaluate Let   and   Evaluate     __________ Let   and   Evaluate     __________ __________

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Let Let   Evaluate   g (- 3) = __________ Evaluate Let   Evaluate   g (- 3) = __________ g (- 3) = __________

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For the following relation, give the domain and range and indicate whether it is a function. {(4, - 5), (- 1, 7), (4, 2)}

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The training heart rate The training heart rate   , in beats per minute, is the resting heart rate plus 60% of the difference between the maximum heart rate   and resting heart rate. Your maximum heart rate is found by subtracting your age   in years from 220. Find the training heart rate function,   , for a person with a resting heart rate of 62 beats per minute. Use this function to find the training heart rate for a 40-year-old person rounded to nearest whole number. , in beats per minute, is the resting heart rate plus 60% of the difference between the maximum heart rate The training heart rate   , in beats per minute, is the resting heart rate plus 60% of the difference between the maximum heart rate   and resting heart rate. Your maximum heart rate is found by subtracting your age   in years from 220. Find the training heart rate function,   , for a person with a resting heart rate of 62 beats per minute. Use this function to find the training heart rate for a 40-year-old person rounded to nearest whole number. and resting heart rate. Your maximum heart rate is found by subtracting your age The training heart rate   , in beats per minute, is the resting heart rate plus 60% of the difference between the maximum heart rate   and resting heart rate. Your maximum heart rate is found by subtracting your age   in years from 220. Find the training heart rate function,   , for a person with a resting heart rate of 62 beats per minute. Use this function to find the training heart rate for a 40-year-old person rounded to nearest whole number. in years from 220. Find the training heart rate function, The training heart rate   , in beats per minute, is the resting heart rate plus 60% of the difference between the maximum heart rate   and resting heart rate. Your maximum heart rate is found by subtracting your age   in years from 220. Find the training heart rate function,   , for a person with a resting heart rate of 62 beats per minute. Use this function to find the training heart rate for a 40-year-old person rounded to nearest whole number. , for a person with a resting heart rate of 62 beats per minute. Use this function to find the training heart rate for a 40-year-old person rounded to nearest whole number.

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Let Let   Evaluate  Evaluate Let   Evaluate

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Find the slope of the line through the pair of points (- 4, 3) and (4, - 3). Then, plot the points, draw a line through them, and indicate the rise and run on the graph.

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