Many of the following problems can be modeled with a linear equation. Analyze them and identify what quantities the variables x and y represent. The information provided in the problems is adequate to determine a point and a slope or two points on the line.
Raul is on a carefully supervised diet that causes a weight loss of 3 pounds per week. After 14 weeks, his weight is 196 pounds.
(a) Does the information provided give two points or a point and a slope?
(b) Write Raul’s weight as a linear function of weeks on the diet.
(c) What was his weight when the diet started?
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