# An elementary school is taking a busload of children to a science fair

An elementary school is taking a busload of children to a science fair. It costs \$110.00 to drive the bus to the fair and back, and the school pays each student’s \$3.00 admission fee. (a) Use a formula to express the total cost C , in dollars, of the science fair trip as a linear function of the number n of children who make the trip. C = (b) Identify the slope and initial value of C . Slope Initial value Explain in practical terms what these values mean. The slope indicates that for each additional child we take on the trip the total cost increases by  . The initial value is  , and it is the cost of taking the bus itself to the fair. (c) Explain in practical terms what C (13) means. C (13) represents the  —Select— initial value total cost (in dollars) of the science fair trip if 13 children make the trip. Calculate C (13). \$ (d) Solve the equation C ( n ) = 128 for n . n = Explain what the answer you get represents. The solution of the equation 3 n + 110 = 128 is the number of students we can take if there is \$  to spend.

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