You are given the dollar value of a product in 2013 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the year t. (Let t = 13 represent 2013.)
2013 Value Rate
$2600 $145 decrease per year
What is V(t)
V(t) = 2600 - 145(t-13)
To write a linear equation that gives the dollar value V of the product in terms of the year t, we can start by determining the initial value of the product in 2013.
Given that the 2013 value is $2600, we can write the equation as follows:
V(t) = 2600 - (145 * (t-13))
Here, t represents the number of years after 2013. So, if we want to find the value of the product in 2016, we would substitute t = 16 into the equation:
V(16) = 2600 - (145 * (16 - 13))
Simplifying this equation would give us the dollar value of the product in 2016.