Jim's family is coming to watch him perform in the school play. Tickets to the play are $3 each. Let t be the number of tickets his family needs, and let c be the total cost of their tickets.The equation c=3t represents this situation. Graph the equation
Question
Jim's family is coming to watch him perform in the school play. Tickets to the play are $3 each. Let t be the number of tickets his family needs, and let c be the total cost of their tickets.The equation c=3t represents this situation. Graph the equation
Solution
To graph the equation c=3t, we need to plot points on a coordinate plane.
- Choose a set of values for t. Let's choose t = 0, 1, 2, 3, and 4.
- Substitute each value of t into the equation to find the corresponding value of c. For t = 0, c = 3(0) = 0 For t = 1, c = 3(1) = 3 For t = 2, c = 3(2) = 6 For t = 3, c = 3(3) = 9 For t = 4, c = 3(4) = 12
- Plot the points (t, c) on the coordinate plane. The points are (0, 0), (1, 3), (2, 6), (3, 9), and (4, 12).
- Connect the points with a straight line. The line should pass through all the plotted points.
- Label the x-axis as "t" and the y-axis as "c" to indicate the variables.
- Your graph should show a straight line with a positive slope, passing through the origin (0, 0).
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