Question

complete the statement that describes the situation.
mikes manufacturing co. spent to design the backpack. after this initial cost, it will cost to make each backpack.

Explanation:

Step1: Find initial design cost

The y - intercept (when \(x = 0\), number of backpacks \(= 0\)) of the line is the initial cost. From the graph, when \(x = 0\), total cost \(=\$2000\). So the initial design cost is \(\$2000\).

Step2: Calculate cost per backpack (slope)

Take two points, e.g., \((0, 2000)\) and \((200, 4000)\). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{4000 - 2000}{200 - 0}=\frac{2000}{200}=10\). So the cost per backpack is \(\$10\).

Answer:

Mike's Manufacturing Co. spent \(\$2000\) to design the backpack. After this initial cost, it will cost \(\$10\) to make each backpack.