Question

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.

Answer 1

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**.