The table that follows shows the relationship between the boiling temperature of water (°F) and the altitude (per thousand feet):
Boiling Point of Water
Altitude
(1000 ft.) Temperature
(°F)
8 197.6
4.5 203.9
3 206.6
2.5 207.5
Gemma and Tessa need to find the rate of change for the data in the previous table. A. Gemma’s first steps are +6.3/-3.5 Which two ordered pairs did Gemma use to set up her
Tessa’s first steps are +0.9/-0.5 Which two ordered pairs did Tessa use to set up her ratio?
To find the rate of change for the data in the table, we can use the formula:
Rate of change = (change in temperature) / (change in altitude)
Let's first determine the change in temperature and change in altitude for each of the two scenarios:
A. Gemma's first steps are +6.3/-3.5
To set up her ratio, Gemma used two ordered pairs:
Ordered Pair 1: (8, 197.6)
Ordered Pair 2: (4.5, 203.9)
Change in temperature = temperature at second altitude - temperature at first altitude
Change in temperature = 203.9 - 197.6 = 6.3
Change in altitude = second altitude - first altitude
Change in altitude = 4.5 - 8 = -3.5
B. Tessa's first steps are +0.9/-0.5
To set up her ratio, Tessa used two ordered pairs:
Ordered Pair 1: (3, 206.6)
Ordered Pair 2: (2.5, 207.5)
Change in temperature = temperature at second altitude - temperature at first altitude
Change in temperature = 207.5 - 206.6 = 0.9
Change in altitude = second altitude - first altitude
Change in altitude = 2.5 - 3 = -0.5
Therefore, Gemma used the ordered pairs (8, 197.6) and (4.5, 203.9) for her ratio, and Tessa used the ordered pairs (3, 206.6) and (2.5, 207.5) for her ratio.