Step 1: Write the Keynesian consumption line.
Consumption depends on current income through
\[ C=a+bY \]
where $a$ is autonomous consumption and $b$ is the marginal propensity to consume.
Step 2: Note the two ratios.
The marginal propensity is $MPC=b$, a fixed slope. The average propensity is
\[ APC=\frac{C}{Y}=\frac{a}{Y}+b \]
Step 3: See what happens as income grows.
As $Y$ rises, the term $\dfrac{a}{Y}$ shrinks toward zero, so $APC$ falls and creeps down toward $b$.
Step 4: Read the options.
$MPC$ stays constant, and $APC$ does not rise, so those options are wrong. What is true is that $APC$ moves closer to $MPC$ as income grows.
\[ \boxed{APC\to MPC \text{ as income rises}} \]