When you visited planet M&M, you notice that 8 hulus of M&Ms is approximately equal to 97 mups. a)Use this information to find a linear model that relates mups y to hulus x.
(B) y= 12.125x
b)Using this linear model, find the number of mups in 18 hulus.
c)How many mups are in 120 hulus?
a)Choices (A) and (D) are not linear (the x term is squared).
Linear models represent ys that are directly proportional to x, not inversely proportional;
therefore, the only linear model (also, by definition a direct variation model) that makes
8 hulus=97 mups is choice (B), where 12.125=k.
The correct linear model is y=12.125x where y is the number of mups and x is the number of hulus.
b)f(x)=12.125x, f(18)= 12.125(18)=218.25