Answer:
27.5
Step-by-step explanation:
x⠀⠀⠀⠀⠀|⠀⠀⠀⠀200⠀⠀⠀⠀|⠀⠀⠀⠀500
y⠀⠀⠀⠀⠀|⠀⠀ ⠀⠀ 11⠀⠀⠀⠀⠀|⠀⠀⠀⠀a
As x directly varies with y:
200 × a = 500 × 11
a = 5/2 × 11 = 27.5
Consider x to be the number of seconds and y the number of free-throws.
Then, according to the question, the equation includes points (10,3) and (60,18).
Finding the equation of a line that goes through such two points,

Thus, the constant of proportionality is 0.3. 0.3 free-throws per second or 3.333... seconds per free-throw