Question

Algebra Home Work! Will give medal to best answer!


24.) The volume, V, of a gas varies inversely as the pressure, P. If the volume of a gas is 200 L under a pressure of 32 atm, what will be its volume under a pressure of 40 atm?
A. 120 L
B. 250 L
C. 160 L
D. 240 L

26. Which of the following situations describes a nonlinear relationship?
A. The number of students enrolled in a local college increases by 5% each semester.
B. For every question missed on an exam, a student's score decreases by six points.
C. The number of graduates with a mathematics degree increases by 20 graduate

Answer 1

V = k / P, where k is a constant.
So plug in to find k.
32 = k / 200
K = 6400

So then:
V = 6400 / P
V = 6400 / 40
V = 160

Answer 2

26) A is a nonlinear relationship because it increases by 5% each semester. Think about it like this: if you have 100 students at first, and it increases by 5%, you then have 105 students. But then, 5% of 105 is not five. It is 5.25. Thus, it does not increase linearly.
B decreases by exactly 6 pts every time, and C increases by exactly 20 each time. There is no change, so those two are linear.

Answer 3

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