Question

PLEASE HELP ASAP!!!!!! You are given the dollar value of a product in 2005 and the rate at which the value of the item is expected to change during the 5 years following. 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 = 5 represent 2005)........2005 value: $12,500.......Rate: $850 increase per year. I know that the answer is V = 850t + 8250, but I don't know where the 8250 came from. Can someone explain that please?

a) V = 850t + 400
b) V = 850t - 400
c) V = 850t + 8250
d) V = 8250t + 850

Answer 1

The constant term in the linear equation V = 850t + 8250 represents the value of the product in the base year of 2005.

Step-by-step explanation:

The equation V = 850t + 8250 can be derived as follows:

Given that the value of the product in 2005 is $12,500 and the rate of increase is $850 per year, we can represent the value of the product in terms of the year as V = 850t + C, where C is a constant. To find the value of C, we substitute t = 5 (representing 2005) and V = $12,500 into the equation:

$12,500 = 850(5) + C

$12,500 = 4,250 + C

C = $8,250

Hence, the linear equation that gives the dollar value of the product in terms of the year t is V = 850t + 8250.