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Write an equation for y , the value at time t , that represents the situation. Let t=0 represent the year 2021.A new home was purchased for $480,000 in the year 2021. The value has been increasing by $6,000 per year.

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Answer:

Given that,

A new home was purchased for $480,000 in the year 2021.

The value has been increasing by $6,000 per year.

To find an equation for y, the value at time t, that represents the situation.

Step-by-step explanation:

Let t represents the number of years after 2021.

That is, when t=0 represent the year 2021.

y represents the value of the home purchased over the years.

Since, The value has been increasing by $6,000 per year, the values follows the arithmetic sequence.

Since the value of t starts from 0, we get the equation as,


y=480000+6000t

Where t represents the number of years after 2021.

The required equation for the value of home y is,


y=480000+6000t

where t represents the number of years after 2021.

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