Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
What is the range of this function?
all real numbers such that y ≤ 40
all real numbers such that y ≥ 0
all real numbers such that 0 ≤ y ≤ 40
all real numbers such that 37.75 ≤ y ≤ 40
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) we have
----> equation A
----> equation B
substitute equation B in equation A
Applying property of exponents
therefore
Part 2) we have
----> equation A
----> equation B
substitute equation B in equation A
Applying property of exponents
simplify
therefore
Answer:
Downwards
Step-by-step explanation:
3/2 + b = 7/4
First rewrite 3/2 to have the same denominator as 7/4:
3/2 x 2 = 6/4
Now you have 6/4 + b = 7/4
To find b subtract 6/4 from 7/4:
b = 7/4 - 6/4
b = 1/4
You have an algebraic expression in which you are solving for x. When you are solving for a variable, you need to isolate it all alone. Since you are multiplying by 1/5, you will have to undo it by multiplying by its reciprocal. In this case you are multiplying both sides by 5/1.
5/1 *1/5x = 121*5/1
x = 605
To check your answer, plug this value in for x and multiply it by 1/5. You should arrive at 121! Good luck!
