9709 P3 · Notes & worked examples
Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.
Recall
Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with \(\displaystyle U=\log _{2}x\) and \(\displaystyle V=\log _{2}y\). The line passes through \(\left( 1, \ 4\right)\) and \(\left( 3, \ 8\right)\).
Find the intercept of the transformed line.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Fresh review variant
Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with \(\displaystyle U=\log _{2}x\) and \(\displaystyle V=\log _{2}y\). The line passes through \(\left( 1, \ 6\right)\) and \(\left( 3, \ 12\right)\).
Find the intercept of the transformed line.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Method
Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with \(\displaystyle U=\log _{2}x\) and \(\displaystyle V=\log _{2}y\). The line passes through \(\left( 1, \ 6\right)\) and \(\left( 3, \ 12\right)\).
Find its gradient.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Fresh review variant
Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with \(\displaystyle U=\log _{2}x\) and \(\displaystyle V=\log _{2}y\). The line passes through \(\left( 1, \ 8\right)\) and \(\left( 3, \ 16\right)\).
Find its gradient.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Apply
Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with \(\displaystyle U=\log _{2}x\) and \(\displaystyle V=\log _{2}y\). The line passes through \(\left( 1, \ 8\right)\) and \(\left( 3, \ 16\right)\).
Find A.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Fresh review variant
Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with \(\displaystyle U=\log _{2}x\) and \(\displaystyle V=\log _{2}y\). The line passes through \(\left( 1, \ 10\right)\) and \(\left( 3, \ 20\right)\).
Find A.
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Check understanding
Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with \(\displaystyle U=\log _{2}x\) and \(\displaystyle V=\log _{2}y\). The line passes through \(\left( 1, \ 10\right)\) and \(\left( 3, \ 20\right)\).
Find the model output y at \(\displaystyle x=2\).
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Fresh review variant
Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with \(\displaystyle U=\log _{2}x\) and \(\displaystyle V=\log _{2}y\). The line passes through \(\left( 1, \ 3\right)\) and \(\left( 3, \ 7\right)\).
Find the model output y at \(\displaystyle x=2\).
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.