Question

The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day. Which statements are true based on the model?

Answer 1

The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.

Which statements are true based on the model?

Answer 2

Options (1), (2) and (5)

Explanation:

Outcomes from the quadratic function given in the graph,

1). Negative y-intercept of the graph represents the loss to the store when x = 0 Or the loss when no clerk is working.

2). Peak of the parabola represents a point (vertex) with x-coordinate as number of clerks working = 4 and y-coordinate as maximum profit earned by the store = $400,000

3). x-intercept of the graph shows the number of clerks working at store when profit earned by the store is zero.

Graph reveals that the store is in loss when number of clerks is zero and 8.

Summarizing these outcomes from the graph,

Options (1), (2), (5) are the correct options.