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 $2.00 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(15) means. C(15) represents the (in dollars) of the science fair trip if 15 children make the trip. Calculate C(15). $ (d) Solve the equation C(n) = 122 for n. n = Explain what the answer you get represents. The solution of the equation 2n + 110 = 122 is the number of students we can take if there is $ to spend.
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.
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 $2.00 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(15) means.
C(15) represents the (in dollars) of the science fair trip if 15 children make the trip.
Calculate C(15).
$
(d) Solve the equation C(n) = 122 for n.
n =
Explain what the answer you get represents.
The solution of the equation 2n + 110 = 122 is the number of students we can take if there is $ to spend.
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