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Problem 1. State True or False. Explain your answer. (a) A line can have more than one slope. (b) Every line has a slope. (c) (3; 1) is a point on...
Problem 1. State True or False. Explain your answer.(a) A line can have more than one slope.(b) Every line has a slope.(c) (3; 1) is a point on the line y = 2x + 5.(d) The line passing through the points (4; 6) and (5; 6) is vertical.(e) The function f(x) = 2x2 + 3 is a linear function.(f) The lines y = 3x + 17 and 3y = x + 8 are perpendicular to each otherProblem 2. Find the equation of the line that is parallel to the line 3x 4y = 1 and passes throughthe originProblem 3. Find the equation of the line that is perpendicular to the line 2x + y = 5 and passesthrough the point (2; 4)Problem 4.Joanne sells silk-screened T-shirts at community festivals and crafts fairs. Her marginalcost to produce one T-shirt is $3.50. Her total cost to produce 60 T-shirts is $300, andshe sells them for $9 each.(a) Find the xed cost of producing the T-shirts.(b) Find the linear cost function for Joanne's T-shirt production.(c) Find the revenue function.(d) How many T-shirts must she produce and sell in order to break even?(e) Find the prot function. Hence nd the number of T-shirts she must produce andsell to make a prot of $500
State True or False. Explain your answer.(a) A line can have more than one slope - false because every line has only one slope(b) Every line has a slope. - true(c) (3; 1) is a point on the line...