Question

David and Amanda are trying to figure out how long they can live off their $12,350 savings if they spend $240 each month. They have each created an equation.

David’s Equation y = 12,350 – (240x)
Amanda’s Equation y = 12,350 + (240x)

Which person has the correct equation to model this linear relationship?
1. Amanda’s equation is correct because their spending will be multiplied by the number of months and then added to their savings.
2. Amanda’s equation is incorrect because their spending will increase the amount of their savings.
3. David’s equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings.
4. David’s equation is incorrect because their spending should be a fixed amount and should not be multiplied.

Answer 1

Hey there! :)

Answer:

Choice 3: David's equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings.

Explanation:

In the question, $12,350 is given as the initial value and '240x' is the monthly spending in terms of x.. When writing the equation, we must subtract 240x because the money is being spent.

The correct equation for this situation would be:

y = 12,350 - (240x).

Thus, David's Equation is correct.