Exam 1: Functions and Graphs

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Determine whether the slope of the line is positive, negative, zero, or undefined. -Determine whether the slope of the line is positive, negative, zero, or undefined. -

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Find the slope and y intercept of the graph of the equation. -y = x - 5

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Use the graph to find the average rate of change. -Use the graph to find the average rate of change. -

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Use the REGRESSION feature on a graphing calculator. -Efficiency experts rate employees according to job performance and attitude. The results for several randomly selected employees are given below. Use the REGRESSION feature on a graphing calculator. -Efficiency experts rate employees according to job performance and attitude. The results for several randomly selected employees are given below.   Find the regression line which can be used to predict performance rating if attitude rating is known. Find the regression line which can be used to predict performance rating if attitude rating is known.

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Solve the inequality and graph. Express your answer in interval notation. -Solve the inequality and graph. Express your answer in interval notation. -

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Find the slope and y intercept of the graph of the equation. -Find the slope and y intercept of the graph of the equation. -

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Solve the problem. -The cost for labor associated with fixing a washing machine is computed as follows: There is a fixed charge of $25 for the repairman to come to the house, to which a charge of $20 per hour is added. Find an equation that Can be used to determine the labor cost, C, of a repair that takes x hours. Write the final answer in the form C = Mx + b.

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Solve the formula for the specified variable. -7x + 10y = 19 for y

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Write the slope-intercept equation (y = mx + b) for a line with the given characteristics. -m = 3, passing through (1, -2)

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Solve the problem. -Suppose the sales of a particular brand of MP3 player satisfy the relationship S = 200x + 3800, where S represents the number of sales in year x, with x = 0 corresponding to 2002 . Find the number of sales in 2005.

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Write an equation of the line with the indicated slope and y intercept. -Slope = -4, y intercept = 6

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Solve the problem. -Using a phone card to make a long distance call costs a flat fee of $0.85 plus per $0.19 minute starting with the first minute. Find the total cost of a phone call which lasts 8 minutes.

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Solve the formula for the specified variable. -S = 2 Solve the formula for the specified variable. -S = 2

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Solve the problem. -The mathematical model C = 600 x + 30,000 represents the cost in dollars a company has in manufacturing x items during a month. Using this model, how much does it cost to produce 600 items?

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Use the REGRESSION feature on a graphing calculator. -A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. Use the REGRESSION feature on a graphing calculator. -A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below.   Use linear regression to find a linear function that predicts a student's course grade as a function of the number of hours Spent in lab. Use linear regression to find a linear function that predicts a student's course grade as a function of the number of hours Spent in lab.

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Find the slope of the line containing the given points. -(-5, 2) and (0, 2)

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Solve the problem. -The cost of manufacturing a computer part is related to the quantity produced, x, during a production run. When 100 parts are produced, the cost is $300. When 600 parts are produced, the cost is $4800. Find an equation Of the line relating quantity produced to cost. Write the final answer in the form C = mx + b.

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Determine whether the slope of the line is positive, negative, zero, or undefined. -Determine whether the slope of the line is positive, negative, zero, or undefined. -

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Solve the problem. -A piece of equipment was purchased by a company for $10,000 and is assumed to have a salvage value of $3,000 in 10 years. If its value is depreciated linearly from $10,000 to $3,000, find a linear equation in the form V = mt + b, t time in years, that will give the salvage value at any time e t, Solve the problem. -A piece of equipment was purchased by a company for $10,000 and is assumed to have a salvage value of $3,000 in 10 years. If its value is depreciated linearly from $10,000 to $3,000, find a linear equation in the form V = mt + b, t time in years, that will give the salvage value at any time e t,

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Provide an appropriate response. -Find the slope of the line 3x + 4y = 11.

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