Answer
Graph A is correct.
Work Step by Step
Assuming that Ohm’s Law holds for this resistor, the current $I=\frac{V}{R}$. As voltage increases, the current increases linearly, as shown in graph A.
The question is vague as to whether the temperature dependence of the resistance R is to be taken into account. Various materials that make up resistors have either positive or negative temperature coefficients of resistivity, meaning that R could increase or decrease with temperature. If this effect is taken into account, then graph D could be correct for a resistor whose resistance increases with temperature (which would happen with increasing current).