Jeanne babysits for $6 per hour she also works as a reading tutor for $10 per hour she is only allowed to work 20 hours per week
this week her goal is to make at least $75. Use a system of inequalities to model the scenario above let x represent babysitting hours and y represent tutoring hours.
1 answer:
Answer:
see the explanation
Step-by-step explanation:
Let
x------> represent babysitting hours
y ------> represent tutoring hours
we now that
The system of inequalities that model the scenario is
-----> inequality A
-----> inequality B
The solution is the shaded area between the positive values of x and y
see the attached figure
You might be interested in
First of all, we can just ignore A, it has no effect but to vertically stretch our cosine.
If it was only , the function would be invertible as long as it's confined between
and
. Now, the argument of our cosine is not
but
. It means that it won't stop at
, but at
.
Another way to think about it, "what should i replace x with so I get inside the cosine?"
Answer:
62.77 million gallons
Step-by-step explanation:
Given,
The function that shows rate of leaking oil per minute in after t hours,
∵ 1 hour = 60 minutes ⇒ 3 hours = 180 minutes,
Hence, the quantity of oil leaked out in the first 3 hours,
= 62.77 million gallons