Question

6. If q is directly proportional to (p − 1)2 and q = 20
when p = 3, find the values of p when q = 80.​

Answer 1

Answer:

9

Step-by-step explanation:

q∝(p-1)(2)

q=20 when p=3

20=k(3-1)(2)

k= proportionality constant

20=4k

20/4=k

k=5

------------

q=80

p=?

80=k(p-1)(2)

80=5(p-1)(2)

80=10(p-1)

80/10=p-1

8=p-1

p=8+1

p=9

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Answer 2

Answer:

q=k(p-1)²      20=k(3-1)²       20=4k      k=20/4       k=5     Equation,q=5(p-1)²

q=k(p-1)²      80=k(p-1)²      80=5(p-1)²

Here we will use the square,

80=5(p²+1)

80=(5p)² + 5

80-5=25p²

75=25p²

75/25=p²

3=p²

√3=√p²

p=1.732...........

Round off......

p=1.7