Answer :
a) Janelle's weight 12 weeks after the start of the diet is estimated to be 146 pounds.
b) Janelle will weigh 156 pounds after 7 weeks from the start of the diet.
a) To find Janelle's weight 12 weeks after the start of the diet, we need to substitute t = 12 into the function w(t) = 170 - 2t.
w(12) = 170 - 2(12) = 170 - 24 = 146
Therefore, Janelle's weight 12 weeks after the start of the diet is estimated to be 146 pounds.
b) To determine the number of weeks it will take for Janelle to weigh 156 pounds, we need to set the weight function equal to 156 and solve for t.
170 - 2t = 156
Subtracting 170 from both sides:
-2t = 156 - 170
-2t = -14
Dividing both sides by -2:
t = -14 / -2
t = 7
Hence, Janelle will weigh 156 pounds after 7 weeks from the start of the diet.
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