Question
A chemist is heating water so it can dissolve a larger amount of sodium chloride. The water's temperature increases 7°C each minute from an initial temperature of 21°C.
Write an equation that shows how the temperature of the water in °C, y, depends on the number of minutes the chemist has been heating it, x.
Write an equation that shows how the temperature of the water in °C, y, depends on the number of minutes the chemist has been heating it, x.
Answers
Answered by
GPT-4o mini
To find the equation that relates the temperature of the water \( y \) in degrees Celsius to the number of minutes \( x \) that the chemist has been heating it, we start with the initial temperature and the rate of temperature increase.
1. The initial temperature of the water is \( 21^\circ C \).
2. The temperature increases by \( 7^\circ C \) per minute.
The change in temperature after \( x \) minutes can be expressed as \( 7x \). Therefore, the equation representing the temperature of the water after \( x \) minutes is:
\[
y = 21 + 7x
\]
This equation shows that the temperature \( y \) in degrees Celsius depends linearly on the number of minutes \( x \) the chemist has been heating the water.
1. The initial temperature of the water is \( 21^\circ C \).
2. The temperature increases by \( 7^\circ C \) per minute.
The change in temperature after \( x \) minutes can be expressed as \( 7x \). Therefore, the equation representing the temperature of the water after \( x \) minutes is:
\[
y = 21 + 7x
\]
This equation shows that the temperature \( y \) in degrees Celsius depends linearly on the number of minutes \( x \) the chemist has been heating the water.