A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find the value of the home after x years?

Respuesta :

Answer:

[tex]y=120,000(1.055)^x[/tex]

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

[tex]y=a(1+r)^x[/tex]

where

y is the value of the home

x is the number of years

a is the initial value

r is the rate of change

we have

[tex]a=\$120,000\\r=5.5\%=5.5/100=0.055[/tex]

substitute

[tex]y=120,000(1+0.055)^x[/tex]

[tex]y=120,000(1.055)^x[/tex]

Answer:

c

Step-by-step explanation:

trust

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