Question

The value of an industrial embroidery machine is decreasing according to the function defined by:

V(t) = 11,700(3)^-0.15

Where t is the number of years since the machine was purchased. What does the y-intercept represent?

A. The value of the machine after 3 years

B. The amount of time it takes for the value of the machine to reach zero

C. The rate at which the value of the machine depreciates

D. The original value of the machine


I think it is A. The value of the machine after 3 years
What do you think?

Answer 1

To find the y-intercept of a function, we set the independent variable to zero. In this case, we have:

V(0) = 11,700(3)^-0.15

Simplifying this expression, we get:

V(0) = 11,700(1)

V(0) = 11,700

Therefore, the y-intercept of the function is 11,700. This means that when the machine was purchased (i.e., at t = 0), its value was $11,700.

So, the answer is D. The y-intercept represents the original value of the machine.