Question

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.

Answer 1

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.

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.