If there is 1 person in a room and no one shakes his or her hand, and then someone else enters the room, resulting in 1 handshake, and then another person comes into the room and 3 handshakes occur, and then there are 4 people in the room and 6 handshakes happen, and 5, 6, 7, 8, 9, and 10 people result in 10, 15, 21, 28, 36, and 45 respectively, how many handshakes would be the result of 20 people in the same room? 100?
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.
If there is 1 person in a room and no one shakes his or her hand, and then someone else enters the room, resulting in 1 handshake, and then another person comes into the room and 3 handshakes occur, and then there are 4 people in the room and 6 handshakes happen, and 5, 6, 7, 8, 9, and 10 people result in 10, 15, 21, 28, 36, and 45 respectively, how many handshakes would be the result of 20 people in the same room? 100?
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