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 Amanda’s Equation y = 12,350 – (240x) y = 12,350 + (240x) Which person has the correct equation to model this linear relationship? Amanda’s equation is correct, because their spending will be multiplied by the number of months and then added to their savings. Amanda’s equation is incorrect, because their spending will increase the amount of their savings. David’s equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings. David’s equation is incorrect, because their spending should be a fixed amount and should not be multiplied.

Answer 1

David's : y = 12,350 - (240x)
Amanda's : y = 12,350 + (240x)

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

Answer 2

Answer:

David's equation $y=12350-240x$ is correct  to model this linear relationship.

Step-by-step explanation:

David and Amanda have total savings money =$12350

If they spend money in each month =$240

Equation created by David

$y=12350-240x$

Equation created by Amanda

$y=12350+240x$

Amanda's equation is incorrect becuase their spending money multiplied by the number months and then added to their savings and increase the amount of their savings.

But in David's eqaution  spending money multiply by the number of months and then subtracted from their savings .Therefore, it decrease the amount of saving money.

Hence, David's equation is correct ,because their spending money multiplied by the number of months and then subtracted from their saving money.