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A certain community college charged $57.50 per credit (unit or hour) for tuition in spring semester 2009. Let T be the total cost (in dollars)
A certain community college charged $57.50 per credit (unit or hour) for tuition in spring semester 2009. Let T be the total cost (in dollars) of tuition for enrolling In c credits of classes. Answer through (a) to (d). a. Complete the table to help nd an equation that describes the relationship between c and T. Show the arithmetic that helps to identify the pattern. "$ng Total Cost T(in dollars) I: 3 [57 50 - + 6 [57 50 - + 9 [57.50 - + 12 [57 50 - + T : (Type an expression using c as he variable.) b. Perform a unit analysis ofthe equation found in part (a). Choose the correct answer below. 0 A. In the equation, the units on one side are dollars and the units on the other side are credits, so the equation is correct. 0 B. In the equation, the units on both sides are credits, so the equation is correct. 0 C. In the equation, the units on both sides are dollars, so the equation is correct. c. Graph the equation by hand. Choose the correct graph below. The cost of a particular private school begins with a onetime initiation fee of $2000 plus annual tUition of $4,000 This srtuation can be modeled by a linear function. identify the independent and dependent variables. Draw a graph of the function, then use the graph to nd the cost to attend this school for 2 years is a linear model reasonable for this situation? The numberofyearsis the independent variable, The cost is the dependent variable, Use the graphing tool to graph the line. The cost for 2 years is $ A linear model V reasonable. The cost of an airline ticket is proportional to the distance traveled at a rate of $14 per 50 miles own Assume that there is a base charge of $75. Complete parts (a) through (c). (a) Fill in the following table for total cost. Distance (mi) (3051(3) 0 75 50 100 150 (Type integers or decimals. Do not include the $ symbol in your answers.) (b) Represent the relationship between cost, C, and distance own, D, with an equation. C = - D + 75 (Type integers or decimals. Do not include the $ symbol in your answers.) (c) What is the graph of the equation that represents the relationship between test C, and distance own, D? A. OB. oc. on. Q 12 Q at p '9' l3 D ?5 150 U 75 150 D ?5 150 Distance (mi) Distance (mi) Distance (mi) 75 Distance (mi) 150 T = (Type an expreSSion using c as the variable) b. Perform a unit analysis ottha equation found in part (3). Choose the correct answer below. 0 A. In the equation, the units on one side are dollars and the units on the other side are credits, so the equation is correct. 0 B. In the equation, the units on both sides are credits, so the equation is correct. 0 C. In the equation, the units on both sides are dollars, so the equation is correct. 1:. Graph the equation by hand. Choose the correct graph below. d. What is the total cost of tuition for 15 credits of classes? The total cost of tuition for 15 credits of classes is $ (Round to the nearest cent as needed )
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