Solve the problem.
-Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where
A) 16
B) 23
C) 7
D) 19

Question

Solve the problem.
-Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where  
A) 16 
B) 23 
C) 7 
D) 19

Quizplus · Accepted Answer

We can see that the value V of the product is decreasing at a rate of $100 - (5t/2)$ per month.

To find the time at which the value of the product will be zero, we need to set V equal to 0 and solve for t.

0 = $100 - (5t/2)$

Solving for t, we get:

t = (200/5) = 40

So the value of the product will be zero after 40 months.

Now we need to find the time at which the value of the product will be $70 or more.

70 = $100 - (5t/2)

Solving for t, we get:

t = 28

So the value of the product will be $70 or more after 28 months.

Therefore, the best choice is C) 7, since it is the only option that is less than 28.

Solve the Problem. -Suppose That the Value V of a Certain Product Decreases