Answer:
Step-by-step explanation:
It is given that y represents the profit earned, and x represents the number of lunch specials ordered at Juan's restaurant per hour.
To determine the maximum profit Juan's restaurant will earn from lunch specials, estimate the highest y-value from the graph. From the graph, it can be seen that the maximum y-value is halfway between 110 and 120. So, the maximum profit Juan's restaurant will earn from lunch specials per hour is about $115.
Next, to determine when the restaurant will break even, observe the x-value when y = 0. It can be seen that graph crosses the x-axis in two places, when x = -5 and x = 10. Since x represents the number of lunch specials ordered, the x-value must be positive. So, the restaurant will break even after 10 lunch specials are ordered.
Lastly, to determine the interval on which the restaurant makes a profit, observe from the graph where the values of x and y are positive. So, the interval on which the restaurant makes a profit is (0, 10).
