(05.05)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.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

divide the numbers

step-by-step explanation: