Question

Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. How do you write the equation to the problem and find the solution?

Answer 1

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).

Step-by-step 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.