Question

complete the ratio tables and graph the ordered - pairs from the table. what can you conclude? 5. miami, fl orlando, fl time (min) temperature drop (f) time (min) temperature drop (f) 5 2 3 1 10 6 15 9 20 12

Explanation:

Step1: Find the rate of temperature - drop for Miami

The rate of temperature - drop in Miami is $\frac{2}{5}=0.4$ degrees Fahrenheit per minute.

Step2: Complete the Miami table

For $t = 10$ minutes, the temperature - drop is $0.4\times10 = 4$ degrees Fahrenheit.
For $t = 15$ minutes, the temperature - drop is $0.4\times15 = 6$ degrees Fahrenheit.
For $t = 20$ minutes, the temperature - drop is $0.4\times20 = 8$ degrees Fahrenheit.

Step3: Find the rate of temperature - drop for Orlando

The rate of temperature - drop in Orlando is $\frac{1}{3}\approx0.33$ degrees Fahrenheit per minute.

Step4: Complete the Orlando table

For $t = 6$ minutes, the temperature - drop is $\frac{1}{3}\times6 = 2$ degrees Fahrenheit.
For $t = 9$ minutes, the temperature - drop is $\frac{1}{3}\times9 = 3$ degrees Fahrenheit.
For $t = 12$ minutes, the temperature - drop is $\frac{1}{3}\times12 = 4$ degrees Fahrenheit.

Step5: Graph and conclude

When we graph the ordered pairs (time, temperature - drop) for both cities, we can see that the temperature in Miami drops at a faster rate than the temperature in Orlando since the slope of the line representing Miami (rate = 0.4) is steeper than the slope of the line representing Orlando (rate=$\frac{1}{3}\approx0.33$).

The completed Miami table:

Time (min)	Temperature Drop (F)
10	4
15	6
20	8

The completed Orlando table:

Time (min)	Temperature Drop (F)
6	2
9	3
12	4

Answer:

Miami: (5, 2), (10, 4), (15, 6), (20, 8); Orlando: (3, 1), (6, 2), (9, 3), (12, 4). The temperature in Miami drops at a faster rate than in Orlando.