In 1976 the population density of a country was 55 people per square mile, and in 2001 it was 75 people per square mile. Use a linear function to estimate when the population density reached 90 people per square mile.

Q: Identify the function as linear, quadratic, or exponential. x -2|-1|0|1|2 y 4|2|1|0.5|0.25

A: The table is given by x -2 -1 0 1 2 y 4 2 1 0.5 0.25 To determine : The name of relationship…

Q: Determine if the two linear functions below are parallel, perpendicular or neither. y = 2 +7 and 5x…

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: NOTE: Refresh your page if you can't see any equations. . x=burning time  y=height of the candle…

Q: is this a function and why y = x2 + 3

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A:

Q: find the slope and y-intercept for each linear function.

A:

Q: If a linear function has positive rate of change, does its graphslope upward or downward?

A: Slope measures the rate of change in the dependent variable as the independent variable changes. The…

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: The height(cm) of the candle is a linear function of the amount of time (in hours) it has been…

Q: Write the equation for the function graphed below. y 32 -1

A:

Q: Identify the slope and y-intercept of the function y= -2x + 3

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Q: Does the graph shown below represent y as a linear function of x?

A: Linear function are those whosegraph is a straight line.

Q: Graph the linear function f(x) = -2.

A: Graph the linear function f(x) = -2.

Q: Determine whether the following linear functions are increasing, decreasing, or constant. f(x) = 5x…

A:

Q: Write the function whose graph is the graph of y = √x, but reflected about the y-axis.

A: y=x

Q: decide if the function is linear y=9x+7

A: Linear equationThe linear equation is an equation of straight line or the equation whose all…

Q: Write the equation of the function shown to the right.

A: According to the question, we need to calculate the equation of the function shown on the right.…

Q: How does the function y = -2x + 6 differ from the linear parent function?

A: The linear parent function is y = x. Now, stretch the graph of y = x in y-direction by a factor of…

Q: Is the function y = -4x + 2 linear or nonlinear? a Linear Nonlinear

A: To determine :- If y = -4x + 2 is linear or non-linear.

Q: Graph the linear function. f(x)=1/4x+5

A: f(x)= (1/4)x+5Lets make a table for this function.Took x=0,4 and -4, found values of ys for those xs…

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: Consider the given: Let at any time x and y be the height of the candle. Also, height of a candle is…

Q: In 1984 the population density of a country was 63 people per square mile, and in 1999 it was 75…

A: For the points (x1 ,y1 ) and (x2,y2), the slope is given by the formula m=y2-y1x2-x1 For the…

Q: Write the function whose graph is the graph of y=x3 but is reflected across the x axis

A: The graph of y=x3 is as shown below:

Q: the average sale of a house decreased from 333,000 in february 2008 to 158,000 in february 2013 what…

A:

Q: graph the functions. f (x) = |x| + 4

A: The graph of a function is drawn by plotting the points x, f(x) for different values of x and then…

Q: Which relationship represents a function with a lesser slope than the function represented above?

A: Consider the set of data x y 0 3 2 -2 4 -7 6 -12   The equation of line passing…

Q: Graph the function. 3x 40) f(x) = (x + 5)(x - 3)

A: For the given graph  find vertical asymptotes , horizontal asymptotes and intercepts  and graph it.

Q: For a basic subscription, a cable television provider charges an activation fee of $60, plus $125…

A: Given: Activation fee = $60 Charges per month = $125

Q: Write the equation for the graphed function. 1 곳(x+ 3)2 + 2 y = 4 y 8- 4 2 X -8 -4 -2 2 4 6. 8. 4 69…

A: The given graph is of downward parabola, so the equation for the graphed function is y=k(x-h)2+k…

Q: Suppose an insect population increases by a constant number each month. Explain why the number of…

A: Given : An insect population increase by a constant number each month.

Q: Suppose the weight of a 2-year-old is 28 pounds. When the child is 5, he weighs 58 pounds. Determine…

A:

Q: What is the significance of the point where the graph of a linear function and its inverse intersect

A: Let f be a function such that  f(x) =y Then f-1(y)=x The point of intersection of the graphs of f…

Q: Write a linear function that relates y to x . y 3 2 1. 2 3 4 5 x

A: we know that a straight line given by formula y-b=m(x-a) where m is slope of line

Q: A salseclerk makes a base salary of $600 per week plus 15% commission on sales. Write a linear…

A: Given: Base salary of a week:  $60015%  commission on total weekly sale.

Q: Graph the linear function:

A: Since, we have to graph the linear function:-y=-32x+2   -(i)→Putting the value of 'x'  in equation…

Q: Use the graph to write a linear function that relates y to x. 10

A: Given,

Q: y First Ratio Second Differences Differences -3| 243 -2 81 -1 27 9. 1 3 2 1 (2) 1 - 3

A: Given: A table of data. To decide if the table represents a function which is linear, quadratic or…

Q: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in…

A: It is given that the weight of the airplane is a linear function. Also, when airplane carries 25…

Q: Is the following real world example a linear function or a nonlinear function? Explain why

A:

Q: A manufacturer of economy cars has determined that 52,000 cars per month can be sold at a price of…

A: Let x and y represents the price per car and number of cars per month, respectively. From the given,…

Q: 4 (1, 3) y= 4-

A: The graph is given by To evaluate : The height of the rectangle h as a function of x.

Q: In 1976 the population density of a country was 55 people per square mile, and in 2001 it was 75…

A: Given ,  In 1976 the population density of a country was 55 people per square mile and In 2001 it…

Q: y 8- ... ......u

A:

Q: Determine whether statement is true or false, and explain why. The function ƒ(x)   =   2x 2 +  3…

A: We need to state wheather the given statement if true or false with proper explanation.

Q: Decide if the table represents a linear, exponential or quadratic function. y 10 20 3 40 4 80 160 1.…

A: We have to decide if the given table represents a linear, exponential or quadratic function.

Q: Find the relative rate of change if f(x) = 10 - 3e-42. |

A:

Q: Explain how the graph also represents a linear piecewise function.

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.