To determine the estimated costs to study at a university or university of technology for one year, we can look at two examples each, respectively.
### Example 1: Estimated cost to study at a university for one year
To find an average estimated cost, we consider the given range of R100,000 to R200,000 per year. The average cost can be calculated by taking the midpoint of this range.
1. The lower end of the range is R100,000.
2. The upper end of the range is R200,000.
3. The average (midpoint) is calculated by adding the two values and dividing by 2:
[tex]\[
\text{Average cost} = \frac{100000 + 200000}{2}
\][/tex]
Calculating this value, we get:
- R100,000 + R200,000 = R300,000
- R300,000 / 2 = R150,000
Therefore, the estimated cost to study at a university for one year is R150,000.
### Example 2: Estimated cost to study at a university of technology for one year
Similarly, to find the estimated cost for a university of technology, we use the same range of R100,000 to R200,000 per year.
1. The lower end of the range is R100,000.
2. The upper end of the range is R200,000.
3. The average (midpoint) is determined in the same way by taking:
[tex]\[
\text{Average cost} = \frac{100000 + 200000}{2}
\][/tex]
By performing the calculation:
- R100,000 + R200,000 = R300,000
- R300,000 / 2 = R150,000
Thus, the estimated cost to study at a university of technology for one year is also R150,000.
### Conclusion
The estimated costs to study for one year are:
- R150,000 at a university.
- R150,000 at a university of technology.
Both values reflect an average cost from the given range of R100,000 to R200,000 per year.
