Answer :
Final answer:
To write the equation for Nick's weight gain, use the formula: Nick's weight = Initial weight + (Rate of gain * Number of weeks). To find the solution, substitute the number of weeks into the equation. The equation for Adam's weight loss is Adam's weight = Initial weight - (Rate of loss * Number of weeks).
Explanation:
To write the equation for Nick's weight gain, we can use the formula:
Nick's weight = Initial weight + (Rate of gain * Number of weeks)
In this case, Nick's initial weight is 160 pounds and he is gaining 3 pounds per week. So the equation would be:
Nick's weight = 160 + (3 * Number of weeks)
To find the solution, we need to substitute the number of weeks into the equation. If we want to find Nick's weight after 5 weeks, for example, we plug in 5 for the number of weeks:
Nick's weight = 160 + (3 * 5) = 160 + 15 = 175 pounds
Similarly, to write the equation for Adam's weight loss, we can use the formula:
Adam's weight = Initial weight - (Rate of loss * Number of weeks)
In this case, Adam's initial weight is 195 pounds and he is losing 2 pounds per week. So the equation would be:
Adam's weight = 195 - (2 * Number of weeks)
To find the solution, we can substitute the number of weeks, just like we did for Nick.
