Calculate the point on the Fahrenheit scale when numerically it is 100 degrees larger than that of the Celsius scale for the same temperature.
A)85
B)265
C)185
D)165
E)no such point exists

Question

Quizplus · Accepted Answer

To solve the problem, we can use the formula to convert Celsius to Fahrenheit: F = (9/5)*C + 32. Let's say the temperature in Celsius is x. Then, according to the problem, 100 degrees Celsius is equal to 100 degrees Fahrenheit, since they represent the same temperature. Therefore, we can write:

F = (9/5)*x + 32 + 100

Simplifying the equation, we get:

F = (9/5)*x + 132

Now, we want to find the point on the Fahrenheit scale where F is 100 degrees larger than x. In other words:

F = x + 100

Substituting the first equation into the second equation, we get:

(9/5)*x + 132 = x + 100

Solving for x, we get:

x = 185

Therefore, the temperature in Celsius is 185 degrees, and the temperature in Fahrenheit is:

F = (9/5)*185 + 32 = 356

So the point on the Fahrenheit scale is 356, which is 100 degrees larger than 185 on the Celsius scale. The answer is C.

Calculate the Point on the Fahrenheit Scale When Numerically It