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Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesMatricesComplex NumbersFinancial Mathematics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
BlogLanding Page
Sign UpLogin
Perplex
IB Math AIHL
/
Function Theory
/
Problem Bank
IB Math AIHL
/
Function Theory
/
Problem Bank

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[Maximum mark: 4]

The function ​h(x)=2x+5​ models the cost (in dollars) of renting a scooter for ​x​ hours.

  1. Write down the cost of renting the scooter for ​3​ hours.

    [1]
    Part (a):
    h(3)= dollars
  2. Solve ​h(x)=15.

    [1]
  3. State the gradient of the function and explain what it represents in this context.

    [2]
[Maximum mark: 4]

The function ​h(x)=2x+5​ models the cost (in dollars) of renting a scooter for ​x​ hours.

  1. Write down the cost of renting the scooter for ​3​ hours.

    [1]
    Part (a):
    h(3)= dollars
  2. Solve ​h(x)=15.

    [1]
  3. State the gradient of the function and explain what it represents in this context.

    [2]