Okay. I am guessing that you are asking for the amount of water poured per minute. The bathtub already holds 12 gallons and 32 - 12 is 20. The tub is full in 5 minutes. Let’s divide. 20/5 is 4. There are 4 gallons of water filled in the tub per minute.
Answer:
a. Based on this information, construct a linear demand equation for Yoda vs. Alien T-shirts, and hence obtain the weekly revenue R as a function of the unit price x.
- y = 640 - 80x ⇒ demand equation
- xy = - 80x² + 640x ⇒ weekly revenue
b. The university administration charges the fraternities a weekly fee of $500 for use of the Student Center. Write down the monthly profit P as a function of the unit price x, and hence determine how much the fraternities should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?
Step-by-step explanation:
first, we must determine the slope = (400 - 240) / (3 - 5) = 160 / -2 = -80
the demand equation:
y - 240 = -80 (x - 5)
y = -80x + 400 + 240
y = 640 - 80x
total weekly revenue:
xy = -80x² + 640x
xy - 500 = -80x² + 640x - 500
max. profit ⇒ x = -640 / (2 x -80) = -640 / -160 = 4
maximum weekly profit = -80($4²) + 640($4) - $500 = -$1,280 + $2,560 - $500 = $780
Answer:
All you do is distribute the 2x throughout the parentheses.
2x(7y - 4) - 3y = 14
14xy - 8x - 3y = 14
I hope this helps, and is the answer you were looking for!
-Mikayla
Answer:
yes, the answer is yes
Step-by-step explanation:
I took the test and got it right :)
