Final answer:
The explanatory variable is water temperature and the response variable is the growth of corals, both of which are quantitative.
Step-by-step explanation:
In this experiment, the explanatory variable is the water temperature because it is being controlled at different levels. The response variable is the growth of corals, which is measured by weighing the coral before and after the experiment. Both the explanatory and response variables are quantitative because they can be measured and expressed numerically.