Equations of Proportional Relationships Assignment Active Practice representing proportional relationships in differen

Question

Equations of Proportional Relationships
Assignment Active
Practice representing proportional relationships in different
ways.
Assignment
What is the constant of proportionality in the equation y = 2.5x?

Sigrid · Answer

Answer:   2.5     Step-by-step explanation:      Constant of proportionality   The constant value (k) of the ratio between two proportional quantities.  Also called the  coefficient of proportionality      Directly proportional    sf y  propto x  implies y = kx  quad  textsf{(where k is some constant)}  One variable increases at the  same rate  the other increases.     Inversely proportional    sf y  propto  dfrac{1}{x}  implies  y= dfrac{k}{x}  quad  textsf{(where k is some constant)}  One variable decreases at the  same rate  the other increases.    Therefore, the constant of proportionality in the equation  sf y=2.5x   is 2.5

sori · Answer

Answer:   2.5   Step-by-step explanation:   y = mx + b  m is the slope were it is a constant rate of change,  y = 2.5x has a slope of 2.5 hence constant proportionality

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