𝐹=95𝐶+𝑘The above model is used to convert the temperature from Celcius to Fahrenhriet.Based on this model, if 40∘ C is equivalent to 104∘F , what is the value of k?
Question
𝐹=95𝐶+𝑘The above model is used to convert the temperature from Celcius to Fahrenhriet.Based on this model, if 40∘ C is equivalent to 104∘F , what is the value of k?
Solution
To find the value of k, we can substitute the given values into the equation and solve for k.
The equation is F = 95C + k.
We know that when C = 40, F = 104. Substituting these values into the equation gives us:
104 = 95(40) + k
To solve for k, we first need to perform the multiplication:
104 = 3800 + k
Then, we subtract 3800 from both sides of the equation to isolate k:
k = 104 - 3800
So, k = -3696.
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