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Please help!! Algebra 1


The value of a home in 2015 was $400,000. Its value has been doubling each decade.


1. If v is the value of the home, in dollars, write an equation for v in terms of d, the number of decades since 2015.


Complete the equation below

v = _______________

Use d as your variable.


Use the ^ symbol to represent an exponent.

For example: 52 should be typed as 5^2

Respuesta :

MrRoyal

Answer:

[tex]v = 400000(2^\wedge d)[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Value = \$400000[/tex]

[tex]Rate = doubles[/tex] per decade

Required

Determine the equation of the function

The information given shows that the function is exponential and will be calculated using:

[tex]v = ab^d[/tex]

Where:

a = Initial Value = 400000

b = rate = 2

d = number of decades

v = the current value of the home

So, we have:

[tex]v = 400000* 2^\wedge d[/tex]

[tex]v = 400000(2^\wedge d)[/tex]

The equation that represents the value of the home is v = $400,00(2^d).

What is the equation that represents the value of the home?

The home is appreciating in value. This means that the price of the house is increasing with the passage of time.

The formula that can be used to represent the appreciation is:

FV = P (1 + r)^n

  • FV = Future value
  • P = Present value
  • R = interest rate
  • N = number of years

v = $400,000(2^d)

To learn more about future value, please check: https://brainly.com/question/18760477

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