1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
[tex]\rm d\times w = constant[/tex]
JB who weighs 50 kg sits 3 feet from the fulcrum.
Distance of JP from the fulcrum in order to balance with JB if he weighs 35 kg?
[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]
So JP must sit at a distance of about 4.28 feet from the fulcrum
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is reading.
A. write the variation equation
let the number of pages read by Ethan be p
let the number of hours he is reading be h
According to the given situation
[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]
B . According to the given condition
[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]
hence the constant of proportionality c = 1.5
So let us consider he reads p' pages in 21 minutes
[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to its volume.
A. Write the variation equation.
Let P = Pressure , V = Volume and T = Temperature
The equation is
[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]
B. What will happen to the pressure if the volume is reduced to half and the temperature is
doubled?
Since the temperature is doubled and volume is halved so putting 2T and and volume V/2 in equation (3.1) we get
[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]
So the values of new pressure become 4 times the value.
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
It seems that Question 4 has an ambiguity since the equation y = k ma
does not signifies any of the option
For more information please refer to the link given below
https://brainly.com/question/17948320
