Question

time 3, 6, 9,12
temperature 5,0, -5, -10
linear
nonlinear
function
not a function

Answer 1

For the given time and temperature values, we can determine if the relationship between them is linear or nonlinear, and if it represents a function or not.

To determine if the relationship is linear or nonlinear, we can check if the change in temperature is constant for each unit change in time.

For the given time and temperature values (3, 6, 9, 12) and (5, 0, -5, -10), let's calculate the differences:

Time: 6-3 = 3
9-6 = 3
12-9 = 3

Temperature: 0-6 = -6
-5-0 = -5
-10-(-5) = -5

The difference in time is constant (3), but the difference in temperature is not constant (-6, -5, -5). Therefore, the relationship between time and temperature is nonlinear.

Now, let's check if the relationship represents a function. A function is a relation in which each input (time) is related to exactly one output (temperature).

In the given values, each time value is related to exactly one temperature value. Therefore, the relationship represents a function.

In summary:
- The relationship between time and temperature is nonlinear.
- The relationship represents a function.