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N76 [4]
3 years ago
13

Montana is known for having very chilly winters. One night, the temperature was falling by 2 degrees Fahrenheit each hour. At su

nset, the temperature was -5 degrees Fahrenheit. How many hours will it take for the temperature to reach -19° F?​
Mathematics
1 answer:
Kipish [7]3 years ago
3 0

Answer:

7 hours

Step-by-step explanation:

We are given that

At sunset, the temperature=-5 degrees Fahrenheit

Each hour, temperature falling=2degrees Fahrenheit

We have to find time taken to reach the temperature -19° F.

Let x be the time time taken to reach the temperature -19° F

According to question

-5+x(-2)=-19

Where we taking 2 negative because temperature decreases.

-5-2x=-19

-5+19=2x

14=2x

x=\frac{14}{2}

x=7

Hence, it will take 7 hours for the  temperature to reach -19° F.

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A statement which best describes the function shown in the table is: B. exponential, there is a continual rate of decay or decrease.

<h3>What is an exponential function?</h3>

An exponential function is a mathematical function whose numerical values (numerals) are generated by a constant that is raised to the power of an argument.

<u>Given the following table:</u>

X : -4        -1        2            4              5

Y :  16        2       0.25   0.0625    0.03125

Next, we would calculate the rate of decay for the y-values:

16/2 = 2/0.25 = 0.25/0.0625 = 0.0625/0.03125 = 8

<u>Rule:</u> The y-values constantly decreases by 1/4 or 0.25 of the previous number.

In conclusion, we can logically deduce that the function shown in the table is exponential, there is a continual rate of decay or decrease.

Read more on exponential functions here: brainly.com/question/12940982

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2 years ago
Isaac wants to start a lawn care business. He offers his clients two different service options:
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the answer is 5 hours.

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3 years ago
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