Question

Ed signed up for a weight-loss program. The table shows his weight in pounds of the terms of the number of weeks since he began his weight loss-program. assume that his weight loss is the same every week.

Time weight
(weeks) (pounds)
0 205
4 197

Eric also signed up for a weight-loss program. The function y = 200 - 1.5x represents his weight in pounds in terms of the number of weeks since he began his weight-loss program. Of the two, ___ loses fewer pounds per week. when the two began their respective weight-loss programs ____ was heavier by ____ pounds.

Answer 1

Answer: of the two, Eric loses fewer lbs per week. When the two began their respective weight-loss programs, Ed was heavier by 5 lbs.

Answer 2

Ed : (0,205)(4,197)
slope(m) = (197 - 205) / (4 - 0) = -8/4 = -2

y = mx + b
slope(m) = -2
(0,205)...x = 0 and y = 205
time to sub
205 = -2(0) + b
205 = b
equation is : y = -2x + 205...so Ed loses 2 lbs per week

Eric :
y = -1.5x + 200...so Eric loses 1.5 lbs per week

when they started, Ed weighed 205 lbs and Eric weighed 200 lbs

* of the two, Eric loses fewer lbs per week. When the two began their respective weight-loss programs, Ed was heavier by 5 lbs.