Photo AI

The depreciation of a truck is calculated based on a rate of 22 cents per kilometre travelled - HSC - SSCE Mathematics Standard - Question 6 - 2023 - Paper 1

Question icon

Question 6

The-depreciation-of-a-truck-is-calculated-based-on-a-rate-of-22-cents-per-kilometre-travelled-HSC-SSCE Mathematics Standard-Question 6-2023-Paper 1.png

The depreciation of a truck is calculated based on a rate of 22 cents per kilometre travelled. What is the value of the truck after it has travelled a total distanc... show full transcript

Worked Solution & Example Answer:The depreciation of a truck is calculated based on a rate of 22 cents per kilometre travelled - HSC - SSCE Mathematics Standard - Question 6 - 2023 - Paper 1

Step 1

Calculate Total Depreciation

96%

114 rated

Answer

To find the total depreciation for the truck after travelling 132,600 km, we use the formula:

extTotalDepreciation=extDistanceimesextRateperkm ext{Total Depreciation} = ext{Distance} imes ext{Rate per km}

Here, the distance is 132,600 km and the rate is 0.22 (22 cents). Thus:

extTotalDepreciation=132600imes0.22=29172 ext{Total Depreciation} = 132600 imes 0.22 = 29172

Step 2

Determine the Original Value of the Truck

99%

104 rated

Answer

Assuming the truck has an original value of the maximum depreciation amount plus the final value after travelling, we can denote the original value as:

extOriginalValue=extTotalDepreciation+extCurrentValue ext{Original Value} = ext{Total Depreciation} + ext{Current Value}

However, we only have the total depreciation calculated, which indicates the decrease in value. The current value can thus be given as:

extCurrentValue=extOriginalValue−extTotalDepreciation ext{Current Value} = ext{Original Value} - ext{Total Depreciation}

Step 3

Final Calculation

96%

101 rated

Answer

Given our previous calculations and consistent assumptions in dissecting depreciation values, the most suitable answer option presented would suggest:

  • The value after travelling is $29,172.

Join the SSCE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;