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Elza [17]
2 years ago
11

A candle on pauline’s dresser is 10 inches tall and burns at a rate of 0.75 inches per hour. how many hours will it take for the

candle to burn down to a height of .25 inches?
Mathematics
1 answer:
Natalija [7]2 years ago
6 0

Using a linear function, it is found that it will take 13 hours for the candle to burn down to a height of .25 inches.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the situation described, the y-intercept is of 10 while the slope is of -0.75, hence the height of the candle after t hours is given by:

h(t) = 10 - 0.75t

The height will be of 0.25 inches when h(t) = 0.25, hence:

0.25 = 10 - 0.75t

0.75t = 9.75

t = 9.75/0.75

t = 13 hours.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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sergeinik [125]

Answer:

The answer to your question is the first rain lasted 40 hours and the second rain lasted 30 hours.

Step-by-step explanation:

Data

1st 15 ml/h = x

2nd 30 ml/h = y

Total time = 70 h and 1500 ml

1.- Write 2 equations

                                First rain + second rain = 70 h

                                             x + y = 70       (I)

                                15x + 30 y = 1500       (II)

2.- Solve equations by elimination

Multiply first equation by -15

                               -15x - 15y  = - 1050

                                15x + 30y =  1500

                                  0x + 15y = 450

                                           y = 450 / 15

                                           y = 30 h

                                   x + 30 = 70

                                  x = 70 - 30

                                  x = 40 h

3.- Conclude

The first rain lasted 40 h and the second rain lasted 30 h.

                           

3 0
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Answer:

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Step-by-step explanation:

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