Questions: A 330,000 building is depreciated by its owner. The value y of the building after x months of use is y=330,000-1500x. (a) Graph this function for x ≥ 0.

A 330,000 building is depreciated by its owner. The value y of the building after x months of use is y=330,000-1500x.
(a) Graph this function for x ≥ 0.

Transcript text: A $\$ 330,000$ building is depreciated by its owner. The value $y$ of the building after $x$ months of use is $y=330,000-1500 x$. (a) Graph this function for $x \geq 0$.

Solution

Solution Steps

Step 1: Find the y-intercept

The y-intercept is the value of y when x = 0. y = 330,000 - 1500 * 0 y = 330,000 The y-intercept is (0, 330000).

Step 2: Find the x-intercept

The x-intercept is the value of x when y = 0. 0 = 330,000 - 1500x 1500x = 330,000 x = 330,000 / 1500 x = 220 The x-intercept is (220, 0).

Step 3: Plot the intercepts and draw the line

Since x ≥ 0, we consider the portion of the line in the first quadrant. Plot the y-intercept (0, 330000) and the x-intercept (220, 0) on a graph. Connect the points with a straight line. Limit the graph to the area where x ≥ 0 and y ≥ 0.

Final Answer: The correct graph is the top right one.

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