The hotter it gets, the more water people drink.' This statement implies that the relationship between temperature and water consumption must have a

a. negative slope

b. positive slope

c. slope always equal to one

d. slope always equal to 45 degrees

b. positive slope

Step-by-step explanation:

I'll explain why the other choices are wrong:

a) Negative slope: The question says that the more hotter it gets the more people drink. So let's assume that people drink about half a gallon a day in 70 degree weather, (not a real value just an assumption). So according to the question if the temperature get's hotter people should drink more. But if the slope is negative it means that, at for example 80 degree weather people drink less than at 70 degree weather. This contradicts the question so it's wrong.

c) Slope always equal to one: The question says that "The hotter it gets, the more water people drink" does it say how much the water consumption increases for every degree increase or does it give any values of what the water consumption is at a certain temperatures? No it doesn't. So it means not enough information is given for this to be the answer, so it's also wrong.

d) It's the same as the previous response, not enough information is given to evaluate. SO it's also wrong.

Now I'll explain why B) is correct:

Positive slope is correct because all the question says is that the "The hotter it gets, the more water people drink" so this means people drink more at 90 degree weather than at 70 degree weather it doesn't specify how much people drink, this means that if we plot this on a graph we'll get a positive slope, hence it's correct.