Question

The cost of an LCD TV dropped from $825 in 2012 to $575 in 2014. construct a linear model to predict the cost of an LCD TV and use it to predict the cost of a TV in 2015.

Answer 1

The cost of an LCD TV dropped from $825 in 2012 to $575 in 2014

Since it is a linear model, the rate of change of cost is constant

So rate of change (slope) =
`(575 - 825)/(2)` = -125

To find the cost of every year we subtract 125 from the cost of previous year

In 2014, the cost of an LCD TV = $575

In 2015, the cost of LCD TV = $575 - 125 = $450

the cost of a TV in 2015 is $450