You're viewing free preview questions — 4 questions previewing here — subscribe to unlock 43 more, plus the Full Question Bank, Mock Papers & Worksheets.Upgrade
Applications of Functions — Free MYP5 Mathematics (Standard) Practice Questions
1QuestionPredictionAssessment Practice
2 marks~3 minCriterion D
A ski slope is modelled by the line , where is the horizontal distance (m) and is the vertical height (m).
Safety regulations state that a ski slope must make an angle of less than 60° with the horizontal to be classified as a beginner slope.
Justify whether this slope qualifies as a beginner slope. [2]
Safety regulations state that a ski slope must make an angle of less than 60° with the horizontal to be classified as a beginner slope.
Justify whether this slope qualifies as a beginner slope. [2]
Solutions
2QuestionReal-life modelsAssessment Practice
4 marks~6 minCriterion B
A student compares two savings plans. The total saved (in dollars) at the end of each week is recorded below.
Week (): 1, 2, 3, 4, 5
Plan A (): 50, 100, 150, 200, 250
Plan B (): 50, 105, 170, 245, 330
Week (): 1, 2, 3, 4, 5
Plan A (): 50, 100, 150, 200, 250
Plan B (): 50, 105, 170, 245, 330
a
Deduce the type of pattern (linear or quadratic) for each plan and derive a formula for total savings after weeks. [2]
b
Construct a prediction for the total savings under each plan after 10 weeks. [1]
c
Advise the student which savings plan to follow over a 52-week year, supporting your recommendation with calculated evidence. [1]
Solutions
3QuestionInterpret contextAssessment Practice
6 marks~9 minCriterion A
A taxi company charges a fixed flag-fall fee plus a constant rate per kilometre travelled. The table below shows sample fares.
| Distance (km) | 1 | 3 | 5 |
|---|---|---|---|
| Total cost (dollars) | 7.50 | 14.50 | 21.50 |
a
Deduce the rate of change and the flag-fall fee, and hence write the general formula for the total cost (in dollars) in terms of distance (in km). [3]
b
A rival company charges according to . Construct a calculation to determine the distance at which both companies charge the same fare. [1]
c
A passenger must travel 8 km and has exactly 32.00 dollars. Advise the passenger which company to use, justifying your recommendation with numerical evidence. [2]
Solutions
4QuestionReal-life modelsAssessment Practice
6 marks~9 minCriterion C
A concert venue models ticket sales using a linear demand function , where is the price in dollars per ticket and is the number of tickets sold.
| Price (dollars) | 20 | 60 |
|---|---|---|
| Quantity (tickets) | 800 | 400 |
a
Deduce the values of and , and write down the demand function . [2]
b
Construct the revenue function , expressing it in the form . [2]
c
The venue manager claims that setting a ticket price of 40 dollars maximises revenue. Justify whether this claim is correct, showing full working to support your conclusion. [2]
Solutions
That's every free question here — 4 of 47.
+43 more questions, plus Mock Papers & Worksheets, are waiting in Premium.