x=year

y= amount

In 2008 Liam purchased a house for $156,000.00

In 2019 Liam house is worth $250,000.00

What is the increase of Liams vaule of his house after 11 years?

Find the slope?

Formula = y2-y1/ x2-x1 =_____________

Respuesta :

Answer:

The value of house increased by $94,000.00.

The value of slope is [tex]\frac{94000}{11}[/tex]. It can be written as [tex]8545.\overline {45}[/tex].

Step-by-step explanation:

Given information:

The worth of house in 2019 = $250,000.00

The worth of house in 2008 = $156,000.00

Let y be the worth of house after x years. It means the two points are (2008,156000) and (2019, 250000).

The amount by which the value of house increases in 11 years is

[tex]Increase=$250,000.00-$156,000.00=$250,000.00-$94,000.00[/tex]

In 11 years, the value of house increased by $94,000.00.

The formula for slope is

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Two points are (2008,156000) and (2019, 250000). So, the slope is

[tex]slope=\frac{250000-156000}{2019-2008}[/tex]

[tex]slope=\frac{94000}{11}[/tex]

[tex]slope=8545.45454545[/tex]

[tex]slope=8545.\overline {45}[/tex]

Therefore the value of slope is [tex]\frac{94000}{11}[/tex]. It can be written as [tex]8545.\overline {45}[/tex].