Mr. Thompson is on a diet. He currently weighs 260 pounds and loses 4 pounds per month.
Write a linear model that represents Mr. Thompson's weight after \( m \) months.
Answer (2)
w − w e i g h t m − m o t h s 260 − 4 m − w e i g h t a f t er m m o t h s w ( m ) = 260 − 4 m ⇒ w ( m ) = − 4 m + 260
The linear model representing Mr. Thompson's weight after m months is w ( m ) = 260 − 4 m , where he starts at 260 pounds and loses 4 pounds each month. This equation reflects a steady weight loss over time. It clearly demonstrates how his weight decreases linearly with each passing month on his diet.
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