Question

Rhonda's Burgers:Rhonda's Burgers, rix), earns a maximum of $227 on selling 17 meals. When 5 meals are sold, the earnings are$84, and when 10 meals are sold, the earnings are $180. On the other hand, when no meals are sold, the loss is$64.

Answer 1

Let x and y represent the number of meals and the profits, respectively.

Thus, we have that when no meals have been sold, x=0; thus,

$\text{when the restaurant sold no meals}\to y-\text{intercept}$

On the other hand, the x-intercept is the point of the form (a,0). This is, the number of meals such that the profit is equal to zero,

$\text{when the number of meals sold results in the restaurant making no profit }\to x-intercept$

Finally,

$\text{when the number of meals sold results in the maximum profit for the restaurant}\to vertex$

Remember that the vertex of a function is always related to a critical point of the function.