If the Slope of the Per-Worker Production Function Is 1/2

Multiple Choice

If the slope of the per-worker production function is 1/2 in a given range,how will a $10,000 increase in capital per hour worked affect real GDP per hour worked in the same given range?

A) Real GDP per hour worked will increase by $5,000.
B) Real GDP per hour worked will increase by $20,000.
C) Real GDP per hour worked will increase by $10,000.
D) Real GDP per hour worked will decrease by $20,000.