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Spend your money wisely

Can you solve this question from the PISA exam?

Question 2: Spend your money wisely

Khan Academy video wrapper
Rebecka Peterson, 2023 US Teacher of the Year, on Math: A Consistent Global Companion!See video transcript
Without mathematics, important financial decisions like buying a car become much more difficult! Mathematics helps us understand the dynamics of loans, down payments, and resale value, enabling a comprehensive comparison of different financing options. By applying mathematical concepts, we can estimate the resale value of a car years down the road, figure out how much we’ll have to pay in interest, and determine the affordability of monthly payments given our income and expenses.
Note: The below question uses a made-up currency called “zeds.”
question 2

Car purchase

Fuel consumption is the number of litres of fuel needed to drive 100 kilometers. It is an estimate based on a combination of city and highway driving.
The prices and fuel consumption of four cars that Tania is considering purchasing are shown in the table below:
Car ACar BCar CCar D
Car price* (zeds)8,0008,7009,90010,500
Fuel consumption (L/100 km)18.915.712.414.1
*"Car price" includes all taxes and registration fees.
A car's value is the estimated price for which it can be resold at a later time.
For a car that stays in excellent condition, its value will decrease by 5% of its current value each year.
If Tania decides to buy Car D and resell it after three years in excellent condition, what will be the approximate value of the car in zeds?
Choose 1 answer:

What skills does this question assess?

This question tests students' ability to employ mathematical concepts, facts, procedures, and reasoning to solve mathematically-formulated problems.
This is a level 6 problem. At level 6, students can conceptualise, generalise and utilise information based on their investigations and modelling of complex problem situations, and can use their knowledge in relatively non-standard contexts. Students can apply insight, understanding, and a mastery of mathematical operations and relationships to develop new strategies for attacking novel situations.
As this question was not included in the main survey, the % of students who got it right is not calculated.

Did you know?

While Henry Ford is often credited with inventing the assembly line, it was mathematical principles that supercharged his vision, leading to the mass production of automobiles. Credit goes to a man named Frederick Winslow Taylor, who combined detailed observations with mathematics to optimise each job at the Ford factories. He used arithmetic, algebra, and elementary calculus to break down and analyse tasks into their parts, time each segment, and then rearrange the production process to minimise movement and maximise efficiency. This mathematical approach reduced the assembly time for a Ford Model T from 12 hours to just 93 minutes and revolutionised industrial manufacturing!

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