Exam 4: Linear Functions and Inequalities in Two Variables

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The gas tank of a certain car contains 17 gal of gas when the driver of the car begins a trip. Each mile driven by the driver decreases the amount of gas in the tank by 0.068 gal. A. Write a linear function for the number of gallons of gas in the tank in terms of the number of miles driven. B. Use your equation to find the number of gallons in the tank after driving 161 mi. Round your answer to the nearest tenth of a gallon.

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Find the coordinates of the point below. Find the coordinates of the point below.

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Find the slope of the line containing the given points. Find the slope of the line containing the given points.

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Name the ordinate of the point below. Name the ordinate of the point below.

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Are the lines Are the lines   and   perpendicular? and Are the lines   and   perpendicular? perpendicular?

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Find the x- and y-intercepts of the line Find the x- and y-intercepts of the line

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What values are excluded from the domain of the function What values are excluded from the domain of the function   ? ?

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Is the line Is the line   parallel to the line   ? parallel to the line Is the line   parallel to the line   ? ?

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Find the equation of the line that contains the points P1(-2, -8) and P2(-2, 8).

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In which quadrant does the given point lie? In which quadrant does the given point lie?

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Is the line that contains the points (5, 3) and (9, 3) parallel to the line that contains the points (-9, 5) and (-9, -9)?

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A real estate appraiser charges a fee that depends on the estimated value, V, of the property. A table giving the fees charged for various estimated values of the real estate appears below. Value of Property Appraisal Fee A real estate appraiser charges a fee that depends on the estimated value, V, of the property. A table giving the fees charged for various estimated values of the real estate appears below. Value of Property Appraisal Fee   $350   $525   $950   $2500   $3000 A. Evaluate this function when V = $437,000. B. Evaluate this function when V = $9,000,000. $350 A real estate appraiser charges a fee that depends on the estimated value, V, of the property. A table giving the fees charged for various estimated values of the real estate appears below. Value of Property Appraisal Fee   $350   $525   $950   $2500   $3000 A. Evaluate this function when V = $437,000. B. Evaluate this function when V = $9,000,000. $525 A real estate appraiser charges a fee that depends on the estimated value, V, of the property. A table giving the fees charged for various estimated values of the real estate appears below. Value of Property Appraisal Fee   $350   $525   $950   $2500   $3000 A. Evaluate this function when V = $437,000. B. Evaluate this function when V = $9,000,000. $950 A real estate appraiser charges a fee that depends on the estimated value, V, of the property. A table giving the fees charged for various estimated values of the real estate appears below. Value of Property Appraisal Fee   $350   $525   $950   $2500   $3000 A. Evaluate this function when V = $437,000. B. Evaluate this function when V = $9,000,000. $2500 A real estate appraiser charges a fee that depends on the estimated value, V, of the property. A table giving the fees charged for various estimated values of the real estate appears below. Value of Property Appraisal Fee   $350   $525   $950   $2500   $3000 A. Evaluate this function when V = $437,000. B. Evaluate this function when V = $9,000,000. $3000 A. Evaluate this function when V = $437,000. B. Evaluate this function when V = $9,000,000.

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