Question

A bottle of water is placed in a freezer. The table shows how the approximate temperature of the bottle changes over time. What type of function best models the data in the graph?

Answer 1

Exponential data

If we plot the values on x-y graph, we get exponential curve.

Answer 2

Exponential graph.

Explanation:

A bottle of water is placed in a freezer. The table shows the approximate temperature of the bottle changes over the time.

Time 0 5 10 15 20

Temperature 25 21.3 18.1 15.4 13.1

Now we take the common ratio of the temperatures given in the table.

common ratio =
`(25)/(21.3)=(21.3)/(18.1)=(18.1)/(15.4)=(15.4)/(13.1)=1.17`

Therefore the function plotted on the graph will model an exponential graph.