Question

Linear Law

Answer 1

The diagram shows a linear line graph obtained from the equation \[y=pq^{2x^2+1}\]where p and q are constants.

Answer 2

Find the value of p and of q.

Answer 3

try taking 'log' of both sides of the equation

Answer 4

\[\log_{10}y=\log_{10}p+\log_{10}q^{2x^2+1}\]

Answer 5

now substitute x^2=0 and log y=1

Answer 6

\[1=\log_{10}p+\log_{10}q\]

Answer 7

now that is equation 1

now substitute x^2=3 and log y=7

Answer 8

\[7=\log_{10}p+\log_{10}q^7\]