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A plumber charges a call-out fee of $90 as well as $2 per minute while working - HSC - SSCE Mathematics Standard - Question 10 - 2020 - Paper 1

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A plumber charges a call-out fee of $90 as well as $2 per minute while working. Suppose the plumber works for t hours. Which equation expresses the amount the plum... show full transcript

Worked Solution & Example Answer:A plumber charges a call-out fee of $90 as well as $2 per minute while working - HSC - SSCE Mathematics Standard - Question 10 - 2020 - Paper 1

Step 1

Calculate the total cost for t hours

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Answer

To express the amount charged by the plumber, we need to account for both the call-out fee and the working time. The call-out fee is $90.

The plumber charges $2 per minute. Since there are 60 minutes in an hour, if the plumber works for t hours, the total number of minutes worked is:

extTotalMinutes=60t ext{Total Minutes} = 60t

The total charge for the working time is:

extChargeforWorking=2imes(60t)=120t ext{Charge for Working} = 2 imes (60t) = 120t

Therefore, the total cost (C) can be expressed as:

C=90+120tC = 90 + 120t

Step 2

Which equation expresses the amount charged?

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Answer

From the calculations above, the equation for the total amount charged by the plumber, as a function of time (t), is:

C=90+120tC = 90 + 120t

This corresponds to option D.

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