Complete Question
You are given the dollar value of a product in 2016 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 terms of year t. (Let t=16 represent 2016)
2016 Value Rate
$2150 $250 increase per year
Answer:
The equation is [tex]V(t) = 250 (t) + 4.3[/tex]
Step-by-step explanation:
Generally linear equation is represented mathematically as follows
[tex]y = mx + c[/tex]
Where y is the dependent variable which in this case is dollar value of a product (V(t))
x is the independent variable which in this case is the time in years(t)
m is the slope which in this case is the rate at which the value of the product is expected to change during the next 5 years
So
[tex]V(t) = m t + c[/tex]
When t = 16 years
[tex]2150 = 250 (16) + c[/tex]
=> [tex]c = 4.3[/tex]
So the linear equation is
[tex]V(t) = 250 (t) + 4.3[/tex]
