wingk0223 wingk0223
  • 23-10-2021
  • Mathematics
contestada

2. If y varies inversely as the square root of x, find the percentage change in y when x is
increased by 21%.

Respuesta :

fichoh
fichoh fichoh
  • 02-11-2021

The percentage increase in the value of y due to the increase in x by 21% is 10%

Inverse relationship :

  • y α 1/√n

y = k/√x - - - - - - (1)

Increase in x by 21% = 0.21

y = k/√1+0.21x

y = k/√1.21x

y = k/ 1.1√x - - - (2)

Comparing the (1) and (2)

y has changed from 1 to 1.1

Increase in y = (1.1 - 1) = 0.1

Expressing the increase as a percentage :

0.1 × 100% = 10%

Hence, the percentage increase in y is 10%

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