Problem 4: Write the equation of a line in point-slope form that passes through the point (3, 5) with a slope of 2.*2 pointsy = 2x-1y = 2x+1y = 3x-1y = 3x+1Problem 5: Suppose you are planning to start a small business that produces handmade greeting cards. You estimate that you can sell each card for $3, and your monthly fixed costs (such as materials and utilities) are $200. Write the revenue function in point-slope form, representing the monthly revenue based on the number of cards sold.*2 pointsy = 3x+200y = 4x+201y = 5x+202y = 6x+203A photo of the test booklet(Front Page Only)Add fileProblem 3: Consider the linear equation y = 3x−6.Find the x and y-intercepts.*2 points0 and -4 respectively1 and -5 respectively2 and -6 respectively3 and -7 respectivelProblem 2: Given the statement: "If it is raining, then the ground is wet."Determine the converse of this statement.*2 points"It is not the case that if it is raining, then the ground is wet.""If it is raining and the ground is wet, or if the ground is not wet and it is not raining.""If the ground is not wet, then it is not raining.""If the ground is wet, then it is raining."Problem 1:The following data represents the daily commute times (in minutes) of 8 employees in a company: 15, 20, 25, 30, 35, 40, 45, 50.Calculate the mean deviation from the mean commute time.*2 pointsThe mean deviation from the mean commute time is 10 minutes.The mean deviation from the mean commute time is 11 minutes.The mean deviation from the mean commute time is 12 minutes.The mean deviation from the mean commute time is 13 minutes.

Problem 1: Find the point-slope form of the equation of a line passing through the point (3,5) with a slope of 2.*5 pointsy-5 = 2(x-3)y-4 = 2(x-3)y-3 = 2(x-3)y-2 = 2(x-3)

Problem 1: Find the slope of the line passing through the points (2,4) and (6,10).*5 points3/413/23Problem 2: Determine the slope of the line containing the points (−1,3) and (5,−1).*5 points-1/3-2/3-1-3/4Problem 3: Find the slope of the line passing through (4,8) and (4,2).*5 points61/61/4undefinedProblem 4: Calculate the slope of the line that goes through (−3,7) and (2,−1).*5 points-8/5-4-8/3-2

The manager of a furniture factory finds that it costs $2400 to manufacture 100 chairs in one day and $4800 to produce 300 chairs in one day.(a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear.C = Sketch the graph. (b) What is the slope of the graph?What does it represent?It represents the time (in days) to produce each additional chair.It represents the number of chairs produced.    It represents the cost (in dollars) of operating the factory daily.It represents the cost (in dollars) of producing each additional chair.(c) What is the y-intercept of the graph?What does it represent?It represents the time (in days) to produce each additional chair.It represents the number of chairs produced.    It represents the cost (in dollars) of producing each additional chair.It represents the fixed daily cost (in dollars) of operating the factory.

Find the point-slope form of the equation of a line with a slope of 0.5 passing through the point (2,−3).*5 pointsy+3 = 0.5(x-2)y-3 = 0.5(x-2)y+3 = -0.5(x-2)y+3 = 0.5(x+2)

The revenue and cost functions, both in dollars, for the production and sale of x TVs are given as R(x) = 160x − 0.8x2 and C(x) = 3,240 + 15x, respectively.(a)Find the value(s) of x where the graph of R(x) has a horizontal tangent line with correct units. (Enter your answers as a comma-separated list. Round your answers to the nearest integer. If an answer does not exist, enter DNE.)x = 100   (b)Find the profit function in terms of x. (Note: Profit is revenue minus costs.)P(x) = −.8x2+145x−3240 (c)Find the value(s) of x where the graph of P(x) has a horizontal tangent line with correct units. (Enter your answers as a comma-separated list. Round your answers to the nearest integer. If an answer does not exist, enter DNE.)x = 7258​