Question

The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour?
Negative StartFraction 7 over 2 EndFraction divided by StartFraction 49 over 4 EndFraction
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Negative StartFraction 49 over 4 EndFraction times StartFraction 7 over 2 EndFraction
Negative StartFraction 49 over 4 EndFraction divided by StartFraction 7 over 2 EndFraction

Answer 1

Answer:

yall need to stop lying Imao Negative StartFraction 49 over 4 EndFraction divided by StartFraction 7 over 2 EndFraction

Step-by-step explanation:

Answer 2

The expression that finds the change in temperature per hour for this considered case is given by: Option D: $\dfrac{-47/4}{7/2}$

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

$Rate = \dfrac{y_2 - y_1}{x_2 - x_1}$

where we have

$\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2$

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

For this case, we're specified that:

• Initial temperature = 0 degrees.
• Final temperature = $-12 \dfrac{1}{4}$ degrees.
• Time taken for this change = $3\dfrac{1}{2}$ hours

Expressing final temperature in simple form:

$-12\dfrac{1}{4} = -12 + \dfrac{1}{4} = \dfrac{-12 \times 4}{4} + \dfrac{1}{4} = \dfrac{-47}{4}$

Expressing time taken for the considered temperature change in simple forms:

$3\dfrac{1}{2} = 3 + \dfrac{1}{2} = \dfrac{3 \times 2}{2} + \dfrac{1}{2} = \dfrac{7}{2}$

The temperature depends on time.

Suppose that:

x = time, y = temperature

Then, suppose that:

• $x_1$ = Time when temperature was $y_1 = 0$ degrees.
• $x_2$ = Time when temperature was $y_2 = -\dfrac{47}{4}$ degrees.

Then, the rate of change of temperature would be:

$Rate = \dfrac{y_2 - y_1}{x_2 - x_1}$

The change in time is: $x_2 - x_1 =\dfrac{7}{2}$ (in hours).

Thus, we get:
$Rate = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-47/4 - 0}{7/2} = \dfrac{-47/4}{7/2}$

Thus, the expression that finds the change in temperature per hour for this considered case is given by: Option D: $\dfrac{-47/4}{7/2}$

Learn more about rate of change here:

https://brainly.com/question/19167959

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