5. We run a company which makes toys. Let w be the number of workers and...

 

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5. We run a company which makes toys. Let w be the number of workers and T be the number of toys manufactured in a month. a) typically we write points in this scenario as (w,T), not (T,w), why is that? b) on a horizontal axis, represent 3 things: w=18, w=26, and Aw-26-18 c) on a vertical axis, represent 3 things: T-4200, T=6200, and AT=6200-4200 d) draw a reasonable sketch of T=f(w) which includes the points (18,4200) and (26,6200). Mark and label Aw and AT for those two points on this graph. e) calculate that rate. If we assume the rate is constant, write the change equation for w and T f) if we swapped w and T (with w on the vertical axis so w=g(T)), what would the rate be (include units)? g) if the rate is constant and 31 workers are employed, how many toys are made in a month? h) if we want to increase toy production by 1500 toys, how many additional workers must be hired? 5. We run a company which makes toys. Let w be the number of workers and T be the number of toys manufactured in a month. a) typically we write points in this scenario as (w,T), not (T,w), why is that? b) on a horizontal axis, represent 3 things: w=18, w=26, and Aw-26-18 c) on a vertical axis, represent 3 things: T-4200, T=6200, and AT=6200-4200 d) draw a reasonable sketch of T=f(w) which includes the points (18,4200) and (26,6200). Mark and label Aw and AT for those two points on this graph. e) calculate that rate. If we assume the rate is constant, write the change equation for w and T f) if we swapped w and T (with w on the vertical axis so w=g(T)), what would the rate be (include units)? g) if the rate is constant and 31 workers are employed, how many toys are made in a month? h) if we want to increase toy production by 1500 toys, how many additional workers must be hired?