Which of the following situations would best be modeled by a continuous relationship? a. the weight of a child over time. b. the number of children at a birthday party. c. the temperature every morning at 8am. d. the cost of bananas is 17 cents each.

 The answer is (c) The temperature every morning at 8am.

Step-by-step explanation:  We are given four options and we are to select which situation among them can be best modelled by a continuous relationship.

A continuous relationship can be seen in a group of data where the values belonging to the group can take any value within a finite or infinite interval.

And a discrete relationship can be seen in a group of data where the values belonging to the group are distinct and separate.

We can easily see from the options that (a), (b) and (d) will fall in discrete relationship because the values here will be distinct and separate.

But, in option (c), the values of the temperature falls in a continuous relationship.

Thus, the correct option is (c).

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

the answer would be 0.54