Exam 1: Functions and Graphs

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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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Graph the equation. -Graph the equation. -

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Solve the problem. -A small company that makes hand-sewn leather shoes has fixed costs of $320 a day, and total costs of $1200 per day at an output of 20 pairs of shoes per day. Assume that total cost C is linearly related to output x. Find an Equation of the line relating output to cost. Write the final answer in the form C = mx + b.

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Solve the problem. Express your answer as an integer or simplified fraction. -7x - (5x - 1) = 2

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Solve the problem. Express your answer as an integer or simplified fraction. --4(4x + 4) - 1 = -5(x + 1) + 3x

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Provide an appropriate response. -Given two points s ( Provide an appropriate response. -Given two points s (   ) and and   ), the ra, the rtio of the change in y to the change in x is called. ) and and Provide an appropriate response. -Given two points s (   ) and and   ), the ra, the rtio of the change in y to the change in x is called. ), the ra, the rtio of the change in y to the change in x is called.

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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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Solve the problem. Express your answer as an integer or simplified fraction. -Solve the problem. Express your answer as an integer or simplified fraction. -

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Solve the problem. Express your answer as an integer or simplified fraction. -Solve the problem. Express your answer as an integer or simplified fraction. -

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Solve the problem. Express your answer as an integer or simplified fraction. -Solve the problem. Express your answer as an integer or simplified fraction. -

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Use the REGRESSION feature on a graphing calculator. -The paired data below consists of the temperature on randomly chosen days and the amount of a certain kind of plant grew (in millimeters). Use the REGRESSION feature on a graphing calculator. -The paired data below consists of the temperature on randomly chosen days and the amount of a certain kind of plant grew (in millimeters).   Find the linear function that predicts a plant's growth as a function of the temperature. Round your answer to two Decimal places. Find the linear function that predicts a plant's growth as a function of the temperature. Round your answer to two Decimal places.

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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 of the line containing the given points. -(9, -7); (-6, 6)

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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. -Assume that the price per unit d of a certain item to the consumer is given by the equation d = 35 - .10x, where x is the number of units in demand. The price per unit from the supplier is given by the equation s = .2x + 20, Where x is the number of units supplied. Find the equilibrium price and the equilibrium quantity.

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Graph the linear equation and determine its slope, if it exists. -3x + 5y = 11 Graph the linear equation and determine its slope, if it exists. -3x + 5y = 11

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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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Provide an appropriate response. -Write the equation of the line in the following graph. Provide an appropriate response. -Write the equation of the line in the following graph.

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Use the REGRESSION feature on a graphing calculator. -In the table below, x represents the number of years since 2000 and y represents sales (in thousands of dollars) of a clothing company. Use the regression equation to estimate sales in the year 2006. Round to the nearest Thousand dollars. Use the REGRESSION feature on a graphing calculator. -In the table below, x represents the number of years since 2000 and y represents sales (in thousands of dollars) of a clothing company. Use the regression equation to estimate sales in the year 2006. Round to the nearest Thousand dollars.

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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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