Suppose an insect population increases by a constant number each month. Explain why the number of insects can be represented by a linear function

Q: If this trend continues, write a function that gives the student population at Calamanco High School…

A: Part A: Let f(x) denote the number of students studying at Calamanco high school after x years since…

Q: The Forecast.linear function in excel indicates how to obtain a y-value when an x-value is known.…

A: Given To find x-value when y-value is given using excel.

Q: Write an equation for the function graphed below 5+ 4 3. 2- -7 6 5 4 3 4 -1 -2 -3 -4 y =

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: The education of women in Oman in the year 1999 was 31%. It was increased to 82%in the year 2015.…

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Q: Write an equation for the function graphed below 5+ 4- 3- 21 -7 -6 -2 -1 /- -4 4 5. 7. -3 -4 -5

A: Given query is to find the graph of the function.

Q: Please find is it a graph of function that increase or decrease ? And why ?

A: The given graph of function,

Q: Describe what is meant by a piecewise linear function.

A: A piecewise linear function is a function composed of straight-line sections. It is a…

Q: Write a LINEAR FUNCTION for the line that passes through (0,4) and (2,5) in the form X+

A: Given points are  0,4  and 2,5 Linear function will be given in the form  y=mx+b where m is the…

Q: Give an example of a linear function, and sketch its graph.

A: given: the function is linear function.

Q: Which is always a characteristic of the graph of a linear function?

A: Explanation of the solution as follows:

Q: Write a function in slope-intercept form whose graph satisfies the given conditions : Passing…

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Q: What is a piecewise linear function?

A:

Q: Based on market data, a shoe company estimates that the relationship between the price, p, of a pair…

A:

Q: A certain chocolates bar costs 35.00 per piece.however,if you buy more than 10 pieces,they will…

A:

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: State the equation of the graphed function.

A: Given,         The graphed function is shown below :

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3. What is the…

A: We can use the concept of straight line in order to solve the given problem.

Q: Write an equation for the function graphed below 5+ 1- + -7 -6 -5 -4. -3 -2 -1 1 4 6 7 -1 -2 -4 -5+…

A: Given x-intercept at x=3 and vertical asymptotes at z=-2 and x=-4. We need to find the equation of…

Q: Give a real life scenario that can represent a function and explain why.

A: Consider a car taken on rent. The car driver charges a fixed amount of Rs.100 and Rs.30 for every…

Q: during typhoo Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of…

A: For first three hours, the rain fell at a rate of 25 mm per hour.  So for time 1≤t≤3 the rate was 25…

Q: Write an equation for the function graphed below 5+ 4 3 2 -7-6 -5-4 -B -2 -1 3 4 5 6 7 -2 -3 -4 -5 y…

A:

Q: A manufacturer of graphing calculators has determined that 12,000 calculators per week will be sold…

A: To write the linear equation

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

A:

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

A: Given query is to find the height of candle after 14 hours.

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: Which set of ordered pairs does not represent a function?

A: Given data: A relation is said to be a function when the single value of x in set A  gives the…

Q: Find the equation of the linear function whose graph is given here. Use the letter x in your answer…

A:

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 54,000 cars per month can be sold at a price of…

A: The linear relationship between independent variable x and dependent variable y is give as :…

Q: What are the Increasing and Decreasing Functions?

A: We have to define the increasing and decreasing functions. We determine increasing and decreasing…

Q: A manufacturer of economy cars has determined that 50,000 cars per month can be sold at a price of…

A: Solution: A linear function that predicts the number of cars that will be sold at a price of x…

Q: Write an equation for the function graphed below 3. 1 + + -7 -6 -5.-4 -3 -2 -1 -1 3 4 5 6 -2 - -3…

A:

Q: Write a LINEAR FUNCTION for the line that passes through (0,4) and (2,5) in the form %3D X+

A: Given points are (0, 4) and (2, 5).

Q: Write an equation for the function graphed below 5 4 2 1 - + + -7 -6 -5 -4 -3 -2 -1 1 2 4 5 6 7 -2…

A: From the given figure, the vertical asymptotes are x=-3 and x=3, horizontal asymptote is y=-1 and…

Q: Which equation represents a linear function

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Q: Find the points on the graph of the function that are closest to the given point. fx) %3D х2 - 3,…

A:

Q: State the domain, the range, and the intervals on which the function below is increasing decreasing,…

A: Domain is all possible values of x.  In the graph, x is from -7 to 12 So the domain is [-7,12].  The…

Q: A manufacturer of graphing calculators has determined that 12,000 calculators per week will be sold…

A: Given problem is : A manufacturer of graphing calculators has determined that 12,000 calculators…

Q: In order to join the Orlando Dancing Club, there is a $20 membership fee and a $4 monthly fee. Write…

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…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.