y-intercepts in Real-World Problems Quick Check

Question

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Question
The current temperature in degrees Celsius, where x
equals the number of hours after noon, is 2x+10
. Interpreting this equation, what is the initial value? (1 point)
Responses

−10°C
negative 10 degrees C

10°C
10 degrees C

2°C
2 degrees C

−2°C

Answer 1

To determine the initial value of the temperature in degrees Celsius at noon (which corresponds to \(x = 0\)), we can substitute \(x = 0\) into the equation \(T(x) = 2x + 10\):

\[ T(0) = 2(0) + 10 = 0 + 10 = 10°C \]

Thus, the initial value of the temperature at noon is 10°C.

So, the correct response is:

10°C