Reducing a nonlinear relation to straight-line form: check 1
Difficulty: ★★☆Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with U=log₂x and V=log₂y. The line passes through \(\left( 1, \ 6\right)\) and \(\left( 3, \ 12\right)\).
Find the intercept of the transformed line.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reducing a nonlinear relation to straight-line form: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with U=log₂x and V=log₂y. The line passes through \(\left( 1, \ 8\right)\) and \(\left( 3, \ 16\right)\).
Find the intercept of the transformed line.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reducing a nonlinear relation to straight-line form: check 2
Difficulty: ★★☆Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with U=log₂x and V=log₂y. The line passes through \(\left( 1, \ 8\right)\) and \(\left( 3, \ 16\right)\).
Find its gradient.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reducing a nonlinear relation to straight-line form: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with U=log₂x and V=log₂y. The line passes through \(\left( 1, \ 10\right)\) and \(\left( 3, \ 20\right)\).
Find its gradient.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reducing a nonlinear relation to straight-line form: check 3
Difficulty: ★★☆Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with U=log₂x and V=log₂y. The line passes through \(\left( 1, \ 10\right)\) and \(\left( 3, \ 20\right)\).
Find A.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reducing a nonlinear relation to straight-line form: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with U=log₂x and V=log₂y. The line passes through \(\left( 1, \ 3\right)\) and \(\left( 3, \ 7\right)\).
Find A.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reducing a nonlinear relation to straight-line form: check 4
Difficulty: ★★☆Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with U=log₂x and V=log₂y. The line passes through \(\left( 1, \ 3\right)\) and \(\left( 3, \ 7\right)\).
Find the model output y at x=2.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Reducing a nonlinear relation to straight-line form: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
A positive model y=Axⁿ is plotted with U=log₂x and V=log₂y. The line passes through \(\left( 1, \ 5\right)\) and \(\left( 3, \ 11\right)\).
Find the model output y at x=2.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.