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A fitness center uses a linear model to advise its customers on what their ideal weight should be based on their height. Height as an input is measured in inches (in), and weight as an output is measured in pounds (lbs).
a) The fitness center told two customers that they are at ideal weights. Customer A is 80 inches tall and weighs 200 pounds. Customer B is 5 feet tall and weighs 100 pounds. Determine the slope of the line that represents the relationship between height and weight that the fitness center uses.
b) Use the slope found in part a and the given information to write the point-slope form of the line.
c) What is the y-intercept of this linear relationship? What is the meaning of the y-intercept in this context? Does it make sense?
d) If a customer is 85 inches tall and weighs 250 pounds, would the fitness center tell them that their weight is ideal?
e) What would the fitness center recommend to the customer in part d?


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