Suppose that the dollar value of a product in 2008 is $150 and the rate at which the value of the product is expected to increase per year during the next 5 years is $4.5.Write a linear equation that gives the dollar value V of the product in terms of the year t.(Let represent 2000. )Round the numerical values in your answer to one decimal place,where applicable.

Question

Suppose that the dollar value of a product in 2008 is $150 and the rate at which the value of the product is expected to increase per year during the next 5 years is $4.5.Write a linear equation that gives the dollar value V of the product in terms of the year t.(Let  represent 2000. )Round the numerical values in your answer to one decimal place,where applicable. ​

Quizplus · Accepted Answer

We can use the formula for a linear equation: y = mx + b, where y is the dollar value of the product in year t, m is the rate of increase per year, x is the number of years since 2008 (i.e. t-2008), and b is the starting value in 2008. We know that b = $150 and m = $4.5, so the equation becomes:

V = 4.5(t-2008) + 150

Simplifying this equation gives:

V = 4.5t - 8965

Rounding to one decimal place, we get:

V = 4.5t - 8965 (D)

Suppose That the Dollar Value of a Product in 2008