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Quarterly Review

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  • What is the volume of this cone? Round your answer to the nearest tenth.
    Volume = 134.0 in³
  • What is the volume of this sphere? Round your answer to the nearest tenth.
    Volume = 267.9 cm³
  • What do the variables "x" and "y" represent in this equation?
    "x" and "y" represent a set a coordinate pairs
  • A cone has the same radius as a cylinder, and exactly the same height. Which has a greater volume, the cone or the cylinder? Explain.
    The cylinder has a greater volume than the cone because a cone is 1/3 the volume of a cylinder.
  • What is the volume of this cylinder? Round your answer to the nearest tenth.
    Volume = 339.1 ft³
  • Before starting the membership to his adventure club, Marshall had $550 in his bank account. How much money did Claire have to start with?
    $480 (the y-intercept shows the starting amount)
  • Explain why this is NOT a function.
    The input of 2 is paired with more than one output.
  • Find the rate of change (slope) for the information in the table below if the time represents "x" and the account balance represents "y".
    -15/1 or -15
  • What is the slope of this line?
    1/2
  • Does this graph show a linear or nonlinear function?
    Linear function
  • Does this graph show a proportional or nonproportional relationship?
    Nonproportional
  • What does the variable "b" represent in this equation?
    "b" is the y-intercept
  • If the two cylinders below have the same radius, would they also have the same volume? Explain.
    No, because they have different heights and both the radius and the height measurements are used in the volume formula for a cylinder.
  • What does the variable "m" represent in this equation?
    "m" is the slope or rate of change
  • Look at the image below. Using the measurements provided, are you able to find the volume of the cone? Explain your reasoning.
    *Answers may vary*
  • Marshall and Claire belong to an adventure club. The following equations represent how much money they have remaining in their bank accounts after each monthly payment. Based on the equations, whose monthly payments are CHEAPER?
    Claire's monthly dues are cheaper ($15 per month is cheaper than $18 per month)
  • Which diagram represents a function?
    Mapping Diagram A
  • Using the equation y = x² + 2, write the correct out values for each input.
    6, 3, 2, 3, 6