If the graph of a function is not a straight line, explain how to find the average rate of change between two points.

Q: is this true or false the average rate of change between any two points on the graph y=2x+7 is 2

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Q: The stated intent of the 1994 “don’t ask, don’t tell” policy was to reduce the number of discharges…

A: In the year 1994, the number of active duty gay service members is 617. In the year 1998, the number…

Q: The graph shows the remaining life expectancy, E, in years for females of age x What is the average…

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Q: Suppose that Bianca walks at a constant rate of 3 miles per hour. Explain what it means that the…

A: Linear function has variable in power of 1 only, i.e., there is no power of variable more than one.…

Q: Why is it important to graph a set of data before trying to find an equation or function to model…

A: Graphing a set of data will be helpful in finding the type of function it models.

Q: What is The average of a function?

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Q: Determine whether each of the following statements is true or false, and explain why. The slope of…

A: We know that slope of tangent gives the instantons rate of change of given function and slope of…

Q: The analyst is interested in estimating effects of percentage change of individual work experience…

A: Here in given scenario both dependent and independent variable change in percentage

Q: Can the average rate of change of an increasing function ever be negative?

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Q: Find the average rate of change f(x) = - X² + 6/X

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Q: If the rate of change for the pool (volume of water in pool versus elapsed time) were positive, what…

A: If rate of change is positive then graph is strictly increasing

Q: Find the slope of the line Express the slope as a rate of change with the popular unit attached

A: We know that slope is the ratio of vertical and horizontal change between two points. Slope of the…

Q: Find the average rate of change of f1x2 = 3x2 - 5x from1 to 3.

A: The average rate of change of a function fx from a point a to b is defined as fb-fab-a.

Q: Outline a strategy for solving related rates problems. Illustrate with an example.

A: There are 4 steps to solve a related rate problem.

Q: Derive the OLS estimator for the intercept and slope.

A: Derivation of OLS estimator for the intercept and slope.

Q: How does related rates apply in real life situations?

A: The related rate is a concept that involves how the rate of two or more than two changing quantities…

Q: Is the rate of change of a linear function constant? Explain.

A: The function is a linear function. The linear function is of the form Ax+B, here A and B are the…

Q: Which relationship represents a function with the same rate of change as the function graphed?

A: Given that:

Q: Explain why the slope of the tangent line can be interpreted as aninstantaneous rate of change

A: The average rate of change of a function fx over the interval x, x+h is the slope of the secant line…

Q: A certain chemical pollutant in the Pasig River has been constant for several years with mean u…

A: Given: Population meanμ=34

Q: A student performed data analysis to determine the relationship between the births attended by…

A: This is output of polynomial regression and the model Is Good fit. We can easily find a relationship…

Q: Does nausea appear to be a problematic adverse reaction? Since the rate of nausea appears to be…

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Q: Write the equation of a function if its rate of changeis -8 and its initial value is -7.

A: GivenInitial value of a function=-7Rate of change of function=-8To find equation.

Q: Use the linear function to predict the percentage of adults on weight-loss diets in 2007.

A: c. The linear function representing the percentage of adults on diets in terms of x years after 1987…

Q: Explain : What is the average rate of change of a function?

A: Average rate of change: The average rate of change of a function is defined as the average rate at…

Q: Can you be specific about where it increases and decreases?

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Q: A data table for Y = Y(X) with evenly spaced values for X can be modeled with a linear function if…

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Q: During periods when the unadjusted federal minimum wage is constant, identify the trend that you…

A: Introduction: The unadjusted federal minimum wages are shown using the solid line, whereas the…

Q: If the rate of change for the pool (volume of water in pool versus elapsed time) were positive, what…

A: To write about the graph

Q: Determine the average rate of change of the function

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Q: Can two level curves of a function intersect? Explain.

A: From the definition, two level curves of a function can't intersect. One level curve is given as…

Q: Find the average rate of change off(x) = 3x-3x-2 from x = 1 tox= 3. Simplify your answer as much as…

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Q: Determine the average rate of change of the function over the domain graphed. (-3, 5). (3, 5) 4 2 4…

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Q: The number of Americans age 65 or older can be modeled as n(x) = −0.00082x3 + 0.059x2 + 0.183x +…

A: For  rate of change of the projected number in 2045 we have to find n'(45) because at 2045 ,…

Q: Please provide an example of real life computation and application of slope of a tangent line

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Q: 4. The slope of a secant line represents the average rate of change.

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the slope of the line Express the slope as a rate of change with proper unit attached

A: We know that slope is the ratio of vertical change to the horizontal change. The slope of a line…

Q: Use combining functions and rates of change to solve:

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: What is the rate of change of the function whose graph is a line passing through  (3, 5) and (−1,…

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Q: . Write the equation of a function if its rate of changeis -15 and its initial value is 12.

A: Given:- Initial value of a function = −15 Rate of change of function = 12 To find equation.

Q: If a graph is increasing at a decreasing rate is it concave up or concave down?

A: When double derivative is negative than graph is concave down and when double derivative is positive…

Q: Are the instantaneous rates and slopes of tangent lines closely connected?

A: Are the instantaneous rates and slopes of tangent lines closely connected?

Q: Explain how the instantaneous rate of change of a function at a point is related to its average…

A: Instantaneous rate of change: The instantaneous rate of change is the change in the rate at a…

Q: (-3, 5). (3, 5) 4 -4 4 2

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Q: Suppose that you were 22 inches long at birth and 3.5 feet tall on your tenth birthday. a) Based on…

A: Linear model  y=mx+b   where b is initial value ( y intercept ) = length at birth  = 22 inches :…

Q: What is the average rate of change of a function?

A: What is the average rate of change of a function?

Q: A scientist believes that, over the years, the number of major earthquakes has been decreasing. To…

A: The data shows the number of earthquakes above magnitude 7.0

Q: In 1951, wild turkeys were harvested in only two counties in Tennessee. Through intensive…

A: (a) Units on the area=(units on x axis) * (unit on y axis)…