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A pumpkin pie recipe says to bake the pie at 425°F for 15 minutes, and then to adjust the temperature down to 350°F for 45 additional minutes. The function P(t) gives the oven temperature setting t, in degrees Fahrenheit, t minutes after the pie is placed in the oven.

1) Diego discovers that the temperature inside the oven is always 25 degrees warmer than the oven’s temperature setting. The function B gives the actual temperature of Diego’s oven. If P(30) = 350, then what is the corresponding point on the function B?

2) Write an expression for B in terms of P.

3)Explain what P(30) = 350 means in this context.

Respuesta :

After 30 minutes from the time recipe is kept in the oven, then the temperature of the oven is kept at 350 °F.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

A pumpkin pie recipe says to bake the pie at 425°F for 15 minutes, and then to adjust the temperature down to 350°F for 45 additional minutes.

The function P(t) gives the oven temperature setting t, in degrees Fahrenheit, t minutes after the pie is placed in the oven.

Diego discovers that the temperature inside the oven is always 25 degrees warmer than the oven’s temperature setting.

The function B gives the actual temperature of Diego’s oven.

If P(30) = 350. Then the corresponding point on the function B will be

The temperature function can be written as

[tex]P(t)=\begin{Bmatrix}425 & 0\leq t\leq 15 \\\\350 & 15 < t\leq 60 \\\end{Bmatrix}[/tex]

The value of t = 30 lies in the interval of 15 < t ≤ 60.

After 30 minutes from the time recipe is kept in the oven, then the temperature of the oven is kept at 350 °F.

More about the function link is given below.

https://brainly.com/question/5245372

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