Exam 3: Linear Equations With Two Variables

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What is the average rate of change in f from 3 to 6? What is the average rate of change in f from 3 to 6?

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Using the following table of a function that models exponential decay determine which one of the following models the amount of radioactive substance as a function of time. Using the following table of a function that models exponential decay determine which one of the following models the amount of radioactive substance as a function of time.

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Graph the equation Graph the equation   using the slope and y- intercept. Graph at least three points. Clearly label and scale the axes.  using the slope and y- intercept. Graph at least three points. Clearly label and scale the axes. Graph the equation   using the slope and y- intercept. Graph at least three points. Clearly label and scale the axes.

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The function The function   is a model for a population A where t is measured in years. The function   is a model for a population B where t is measured in years. True or false? The function g(t) grows logistically. is a model for a population A where t is measured in years. The function The function   is a model for a population A where t is measured in years. The function   is a model for a population B where t is measured in years. True or false? The function g(t) grows logistically. is a model for a population B where t is measured in years. True or false? The function g(t) grows logistically.

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The amount of student loan debt that you have can be estimated by the equation The amount of student loan debt that you have can be estimated by the equation   where D is student loan debt in dollars m months after you start paying off the student loans. a. Find and interpret the D- intercept for this equation. b. Find and interpret the m -intercept for this equation. c. Find and interpret the slope for this equation. where D is student loan debt in dollars m months after you start paying off the student loans. a. Find and interpret the D- intercept for this equation. b. Find and interpret the m -intercept for this equation. c. Find and interpret the slope for this equation.

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Decide whether the lines are parallel perpendicular or neither. Decide whether the lines are parallel perpendicular or neither.   and  and Decide whether the lines are parallel perpendicular or neither.   and

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After college graduation Sheena was offered two different jobs. The first offer included a salary of $38200 plus a guaranteed raise of $1900 per year. The second offer included a salary of $31400 plus a guaranteed raise of 3% per year. What is the average rate of change for the function defined by the first job offer for year 3 to year 5?

(Short Answer)
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The function The function   is a model for a population A where t is measured in years. The function   is a model for a population B where t is measured in years. True or false? The population of g(t) after 4 years exceeds the carrying capacity for the logistic function. is a model for a population A where t is measured in years. The function The function   is a model for a population A where t is measured in years. The function   is a model for a population B where t is measured in years. True or false? The population of g(t) after 4 years exceeds the carrying capacity for the logistic function. is a model for a population B where t is measured in years. True or false? The population of g(t) after 4 years exceeds the carrying capacity for the logistic function.

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In the first year of her life your baby s weight is estimated by the equation In the first year of her life your baby s weight is estimated by the equation   where W is weight in ounces at age k weeks. Find and interpret the W- intercept for this equation. where W is weight in ounces at age k weeks. Find and interpret the W- intercept for this equation.

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Determine the equation of the line that passes through the given points. Put the final answer in Determine the equation of the line that passes through the given points. Put the final answer in   form. Points:  form. Points: Determine the equation of the line that passes through the given points. Put the final answer in   form. Points:

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The graph displays the number of tickets available (not yet sold) for the number of hours since the theater opened at noon. Calculate the slope for the Play Story line and interpret its meaning. The graph displays the number of tickets available (not yet sold) for the number of hours since the theater opened at noon. Calculate the slope for the Play Story line and interpret its meaning.

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Use the graph to find the equation of the line. Put the answer in Use the graph to find the equation of the line. Put the answer in   form.  form. Use the graph to find the equation of the line. Put the answer in   form.

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The number of tourists in a small town at time t (in years) is modeled by The number of tourists in a small town at time t (in years) is modeled by   . What is the initial number of tourists? . What is the initial number of tourists?

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Morphine is administered to a patient intravenously with an initial amount of 15 mg. About 33.1% of the morphine in a patient's body is metabolized and leaves the body each hour. How much morphine will be left after 2.6 hours (rounded to the nearest hundredth)?

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The value of an investment doubles every 32 months. If the investment starts with $3700 how much money is in the investment after 3 months (rounded to the nearest hundredth)?

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Find the slope of the line given in the graph. Find the slope of the line given in the graph.

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To graph the given set of points in the input-output table a reasonable choice for the y scale is which value? To graph the given set of points in the input-output table a reasonable choice for the y scale is which value?

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The point where the curve touches the y -axis is called the y- intercept.

(True/False)
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A graph of the equation A graph of the equation   will be a horizontal line. will be a horizontal line.

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The graph displays the number of tickets available (not yet sold) for the number of hours since the theater opened at noon. Which movie had more tickets available at the start of sales? The graph displays the number of tickets available (not yet sold) for the number of hours since the theater opened at noon. Which movie had more tickets available at the start of sales?

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