Hillary babysits for $6 per hour. she also works as a math tutor for $8 per hour. her parents only allow her to work 14 hours per week. she wants to make at least $90. write and graph a system of inequalities to represent this situation where x = babysitting and y = tutoring . which represents a viable solution for hours worked by hillary?

Here, x represents the number of hours of babysitting and y represents the number of hours of tutoring tutoring,

∵ babysitting costs $6 per hour and tutoring costs $8 per hour.

So, total earning = 6x + 8y

And, total hours = x + y

According to the question,

x + y ≤ 14 -----(1)

6x + 8y ≥ 90 ----(2)

Which is the required system of inequalities,

Relative equation of inequality (1) is x + y = 14, and inequality (2) is 6x + 8y = 90

Equation x + y = 14 having x-intercept = (14,0) and y-intercept = (0, 14)

While, equation 6x + 8y = 90 having x-intercept = (15,0) and y-intercept = (0,11.25)

≤ or ≥ shows solid line,

0 + 0 ≤ 14 ( true )

So, x + y ≤ 14 will contain the origin,

While, 6(0) + 8(0) ≥ 90 ( false )

So, the 6x + 8y ≥ 90 will not contain the origin.

Thus, the solution is the feasible region of the above system of inequalities.

dnji

step-by-step explanation:

dskfbipo

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !