1.19: Linear law graph: $y = Ab^{x^{2}}$

0606/13/O/N/19 — Question 6 · 10 marks

The table shows values of the variables

x

and

y

such that

y = Ab^{x^{2}}

, where

A

and

b

are constants.

$x$	1	1.5	2	2.5	3
$y$	6	14.3	48	228	1536

(i)

Draw a straight line graph to show that

y = Ab^{x^{2}}

[4]

(ii)

Use your graph to find the value of

A

and of

b

[4]

(iii)

Estimate the value of

x

when

y = 100

[2]

1.19: Linear law graph: y=Abx2y = Ab^{x^{2}}y=Abx2