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Alexxx [7]
3 years ago
11

suppose there is a 1.1 degree F drop in temperature every thousand feet that an airplane climbs into the sky. if the temp on the

ground is 59.7F, what will be the temp at an altitude of 11,000 ft
Mathematics
2 answers:
Aleks04 [339]3 years ago
4 0

For this case, the first thing we must do is define variables.

We have then:

x: altitude of the plane in feet

y: final temperature

The equation modeling the problem for this case is given by:

y = - \frac{1.1}{1000} x + 59.7

Thus, evaluating the function for x = 11,000 ft. Height we have:

y = - \frac{1.1}{1000} (11000) +59.7

y = 47.6

Answer:

the temperature at an altitude of 11,000 ft is 47.6 F

svlad2 [7]3 years ago
3 0

Answer:

Step-by-step explanation: Its 49.9

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Which questions can you please send a link? :)
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Review the table.
Lynna [10]

Answer:

The function that models the scenario is given as follows;

P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}

Step-by-step explanation:

The table of values are presented as follows;

The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5

The number of people, P, hearing the rumor: 10, 16, 26, 42, 66, 100

Imputing the given functions from the options into Microsoft Excel, and

A = P(t) = \dfrac{250}{1 + 24 \cdot e^{-0.5 \cdot t}}

B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}

C = P(t) = \dfrac{750}{1 + 74 \cdot e^{-0.5 \cdot t}}

D = P(t) = \dfrac{1000}{1 + 99 \cdot e^{-0.5 \cdot t}}

solving using the given values of the variable, t, we have;

P                t               A                 B       {}             C                      D

10        {}      0        {}     10        {}         10        {}          10        {}             10

16        {}      1        {}      16.07021       16.27604      16.34583        {} 16.38095

26        {}     2        {}     25.43466      26.2797       26.574             26.72363

42        {}     3        {}     39.33834      41.89929      42.82868         43.30901

66        {}     4        {}     58.85058      65.51853      68.09014         69.45316

100        {}   5        {}     84.17395        99.55866    106.0177          109.5721

Therefore, by comparison, the function represented by B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}} most accurately models the scenario.

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Answer:

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