Opening the paper…
Figure from the original question paper Figure from the original question paper A student's raw test score is denoted by $x$. The grading system applies a curve by adding a bonus of 5 points and then converts the curved score to GPA by dividing it by 25, as described below: $$\text{Curve function: } g(x) = x + 5 \quad \text{(adds 5 bonus points)}$$ $$\text{GPA conversion: } f(x) = \frac{x}{25}$$ If a student's expected raw score is in the range 80 to 90, find the range for the GPA.