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Xelga [282]
1 year ago
14

The amount a gardener gets paid is directly proportional to the number of hours it takes for him to complete the job.

Mathematics
1 answer:
astraxan [27]1 year ago
8 0

Answer:

  £105

Step-by-step explanation:

The pay is proportional to the time, so working 18/12 = 3/2 times as long will gain the gardener 3/2 times the pay:

  3/2 × £70 = £105

He would get paid £105 for an 18-hour job.

__

Here are a couple of other solution methods.

<h3>as a proportion</h3>

  pay/hours = ?/(18 hours) = £70/(12 hours)

Multiplying by 18 hours, we get ...

  ? = £70×(18 hours)/(12 hours) = £70×(18/12)

  ? = £105 . . . . pay for 18 hours

He would get paid £105 for 18 hours.

__

<h3>as direct proportion equation</h3>

The equation for a directly proportional relationship is ...

  y = kx

If we let y represent pay and x represent hours, then we have ...

  70 = k(12)   ⇒   k = 70/12 = 35/6

Then for 18 hours, the pay is ...

  y = (35/6)x

  y = (35/6)(18) = 35(3) = 105

He would get paid £105 for 18 hours.

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