We are given a table that shows the water temperature $D$ each month $t$ at Miami Beach. We want to write a model that gives us the average monthly high temperature $D$ as a function of the time $t .$

Water Temperatures at Miami Beach, FL
$t$	$1$	$2$	$3$	$4$	$5$	$6$
$D$	$71$	$73$	$75$	$78$	$81$	$85$
$t$	$7$	$8$	$9$	$10$	$11$	$12$
$D$	$86$	$85$	$84$	$81$	$76$	$73$

To do so, we will use a graphing calculator to create the function model. Then, we can find and interpret the period of the function. Let's do this one at time!

Creating the Function Model

Let's begin by drawing a scatter plot. We will do it by pushing the $STAT$ button and choosing the first option Edit. Then we can enter the values. The first column represents the months and the second one represents the temperature.

The window in the calculator, which shows Stat and then Edit

Having entered the values, we can plot them by pushing the $2nd$ button and the $Y =$ button. Then, we will choose one of the plot types from the list. Let's turn the plot ON, choose the type to be a scatter plot, and assign L1 and L2 as XList and Ylist.

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