Question

A newly established clothing shop analyzed their monthly profit compared to the amount spent on advertising each month. The following graph shows the relationship between the profit generated by the shop each month, in hundreds of dollars, and the amount of money spent on advertising each month, in hundreds of dollars.

Answer 1

The maximum possible monthly profit of the shop is about $4500.

The interval over which the shop makes a profit is between when it spend $0 and $600 for advertising the shop.

The highest peofit is earned when $300 is spent on advertising.

How to interpret the graph

From the graph

The maximum possible monthly profit of the shop is about $4500.

This corresponding to highest point on the curve interpolate against the vertical axis.

The interval over which the shop makes a profit is between when it spend $0 and $600 for advertising the shop. This corresponding to the interval where curve is above the initial profit of the shop. The initial profit is the y-intercept of the curve.

The highest peofit is earned when $300 is spent on advertising. This the corresponding money spend on advertising at the maximum profit.