Every minute, a manufacturer increases the temperature of a chemical compound by the same number of degrees. The compound was 10 celsius at 9:00 a.m. when the factory opened, and it is 22 celsius at 9:15 a.m. Write an equation that tells the temperature, c, of the compound t minutes after 9:00 a.m.

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05-02-2022
Mathematics

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Every minute, a manufacturer increases the temperature of a chemical compound by the same number of degrees. The compound was 10 celsius at 9:00 a.m. when the factory opened, and it is 22 celsius at 9:15 a.m. Write an equation that tells the temperature, c, of the compound t minutes after 9:00 a.m.

Sagot :

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joaobezerra joaobezerra · Answer 1 · 2022-02-14T06:55:52-05:00

The linear function that tells the temperature, c, of the compound t minutes after 9:00 a.m. is given by:

c(t) = 10 + 0.8t

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

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.

In this problem:

Initially, at 9:00 a.m., the temperature is of 10 degrees celsius, hence b = 10.

In 15 minutes, the temperature increased by 12 degrees, hence the slope is of m = 12/15 = 0.8.

Hence, the function is:

c(t) = 10 + 0.8t

You can learn more about linear functions at https://brainly.com/question/24282972

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What is a linear function?

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