A house was purchased for $140,000. Three years later, the value of the house was $155,000. If the value V of the house increased linearly from the date it was purchased, which of the following represents the value, in dollars, of the house t years after the date it was purchased?

Question

A house was purchased for $140,000. Three years later, the value of the house was $155,000. If the value V of the house increased linearly from the date it was purchased, which of the following represents the value, in dollars, of the house t years after the date it was purchased?

A. V=140,000 + 15,000t
B. V=140,000 + 5,000t
C. V=140,000 + 15,000(t-3)
D. V=140,000 + 5,000(t-3)

Answer 1

To find the equation that represents the value of the house t years after it was purchased, we can use the given information: the house was purchased for $140,000 and three years later its value was $155,000.

First, let's find the increase in value over three years: $155,000 - $140,000 = $15,000.

Since the value of the house increased linearly over time, we can assume a constant rate of increase. This means that every year, the value increases by the same amount.

Now, let's analyze the options given:

A. V = 140,000 + 15,000t
This equation assumes a rate of increase of $15,000 per year, which matches the information we have. The house was purchased for $140,000, and the increase of $15,000 over three years can be represented by $15,000t.

B. V = 140,000 + 5,000t
This equation assumes a rate of increase of $5,000 per year, which does not match the information we have. The value of the house increased by $15,000 over three years.

C. V = 140,000 + 15,000(t - 3)
This equation adjusts the rate of increase by subtracting 3 from the time t. However, this does not match the given information since the value increase occurred over three years and not the entire time period t.

D. V = 140,000 + 5,000(t - 3)
This equation adjusts the rate of increase by subtracting 3 from the time t. However, this does not match the given information since the value increase occurred over three years and not the entire time period t.

Therefore, the correct equation that represents the value of the house t years after it was purchased is:

A. V = 140,000 + 15,000t

The value of the house increases by $15,000 per year starting from the $140,000 initial value.

Answer 2

All your choices resemble the slope-yintercept form of a linear equation in the

form
y = mx + b, or V = b + mt if you wish.
you are just given two points, (0,140000) and (3,155000)
the slope would be 155000-140000)/3 = 5000
So which equation shows a slope of 5000 and a V intercept of 140,000 ?

Answer 3

sorry m = 15/3 = 5

Answer 4

155 - 140 = 15

so
m = 15,000 in y = m x + b
V = 15,000 t + 140,000

A house was purchased for $140,000. Three years later, the value of the house was $155,000. If the value V of the house increased linearly from the date it was purchased, which of the following represents the value, in dollars, of the house t years after the date it was purchased?

Its B

To find the equation that represents the value of the house t years after it was purchased, we can use the given information: the house was purchased for $140,000 and three years later its value was $155,000.

All your choices resemble the slope-yintercept form of a linear equation in the

sorry m = 15/3 = 5

155 - 140 = 15