Question

value of a machine10(thousands of dollars)01 2 3 4 5 6 7 8 9 10Age of Machine(years)Which equation best represents the relationship between x, the age of the machine in years, and y, thevalue of the machine in dollars over this 10-year period?F.y = -0.002x + 2,500G.y = -500x + 8,000H.y = 500x + 8,000J.y = 0.002x + 2,500

Answer 1

To find the right answer, first, we find the slope.

Let's use the slope formula, and the points (0,8) and (8,4).

`m=\frac{y_2-y_1_{}}{x_2-x_1}`

Replacing the points, we have.

`m=(4-8)/(8-0)=(-4)/(8)=-(1)/(2)=-0.5`

However, the Value is express in thousands of dollars, which means the slope is -500.

Observe that G is the only equation with the correct slope.

Therefore, G is the right answer.