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A cell phone company uses the function below to determined the cost, c, in kina (k) for g gigabyte of the data transfer.

If 0<g<2
C(g)=25+10(g_2) if g>2
Find the cost of using 1.4 gigabyte of the data and the cost of using 4 gigabyte of data.

1 answer

To find the cost of data transfer for the specified gigabyte usage, we can evaluate the cost function \( C(g) \) based on the given intervals.

  1. For using 1.4 gigabytes (0 < g < 2): \[ C(g) = 25 + 10g \] Plugging in \( g = 1.4 \): \[ C(1.4) = 25 + 10(1.4) = 25 + 14 = 39 \text{ kina} \]

  2. For using 4 gigabytes (g > 2): \[ C(g) = 25 + 10g \] Plugging in \( g = 4 \): \[ C(4) = 25 + 10(4) = 25 + 40 = 65 \text{ kina} \]

Final Costs:

  • The cost of using 1.4 gigabytes of data is 39 kina.
  • The cost of using 4 gigabytes of data is 65 kina.