. 5 Homework Question 1, 17.5.1 Hw Score: 0\%, o or fuponis Pul2ct3 Points: 0 of 1 Save A businesswoman buys a now computer for \( \$ 1600 \). For each year that the uses it, the value depreciates by \( \$ 200 \). The equation \( y=-200 x+1600 \) gives the value \( y \) of the computer after \( x \) years. What does the \( x \)-intercept mean in this situation? Find the \( x \)-intercept. Aher how many years will the value of the computer be \( \$ 800 \) ? What does the \( x \)-intercept represent in this equation? A. The number of years \( x \) when the value \( y \) of the compuler is zero. B. The value \( y \) of the computer when the number of years \( x \) is zero. C. The number of years \( x \) and the value \( y \) of the computer are equal. The xintercepl is \( \square \) (Type an ordered pair.)

The equation is y = -200x + 1600. Step 1: x-intercept To find the x-intercept, set y to 0:  0 = -200x + 1600  200x = 1600  x = 8. So, the x-intercept as an ordered pair is (8, 0). This x-intercept represents the number of years (x) when the value (y) of the computer reaches zero. Therefore, the answer is: A. The number of years x when the value y of the computer is zero. Step 2: Value equals $800 To find when the computer’s value is $800, plug y = 800 into the equation:  800 = -200x + 1600  -200x = 800 - 1600  -200x = -800  x = (-800)/(-200) = 4. Thus, the computer’s value will be $800 after 4 years. Summary of Answers: x-intercept (ordered pair): (8, 0) Interpretation: It represents the number of years until the computer's value becomes $0. The computer’s value will be $800 after 4 years.