IB myp 4-5 MATHEMATICS – Practice Questions- All Topics
Topic :Function-Linear Function
Topic :Function- Weightage : 21 %
All Questions for Topic : Mappings,Function notation,Linear functions,y=mx+c,Parallel and Perpendicular lines,System of equations/simultaneous equations,Quadratic functions,Algorithms
Question (19 marks)
The following video describes how different fuels for vehicles can impact emissions on communities and environments.
Question (a) : 3 marks
Vehicle A is advertised to buy for $£ 31250$. As part of a government incentive the vehicle cost is reduced by $20 \%$.
Calculate the vehicle cost after the government incentive for vehicle $A$.
▶️Answer/Explanation
Ans:
To calculate the vehicle cost after the government incentive, we need to subtract the discount amount from the original price.
The discount amount can be found by multiplying the original price by the discount percentage, which is $20\%$ or $0.20$.
\[
\text{{Discount amount}} = 0.20 \times £31250
\]
\[
\text{{Discount amount}} = £6250
\]
The vehicle cost after the government incentive is the original price minus the discount amount.
\[
\text{{Vehicle cost after incentive}} = £31250 – £6250
\]
\[
\text{{Vehicle cost after incentive}} = £25000
\]
Therefore, the vehicle cost after the government incentive for vehicle A is £25000.
Question (b) : 3 marks
A person drives 14000 miles on average per year.
Determine the annual fuel cost of vehicle $A$.
▶️Answer/Explanation
Ans:
For Vehicle A (electric-powered):
Annual fuel cost for Vehicle A $= \mathrm{14000~ miles }\times \mathrm{£0.035~ per ~mile} = £490$