Does anyone know how to do this i’m really lost

See explanation

Step-by-step explanation:

Let

x = number of hotdogs purchased

y = number of drinks purchased.

1. The restaurant sells hotdogs for $3.50 each, so x hotdogs cost $3.50x and drinks for $1.75 each, so y drinks cost $1.75y.

Isabella has $35 to spend, so

2. Isabella must buy no less than 13 hotdogs and drinks altogether, so

3. Plot both inequalities on the coordinate plane.  The common region (region where two shaded regions intersect) is the solution to the system of two inequalities.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.