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Question

Barb the baker has developed a new temperature scale for her bakery called the Breadus scale, which is a linear function of the Fahrenheit scale. Bread rises at 110 degrees Fahrenheit, which is 0 degrees on the Breadus scale. Bread is baked at 350 degrees Fahrenheit, which is 100 degrees on the Breadus scale. Bread is done when its internal temperature is 200 degrees Fahrenheit. What is this in degrees on the Breadus scale?

Accepted Answer

To solve this question, you can use y = mx + b where the x is Fahrenheit and the y is Breadus. We have (110,0) and (350,100). We want to find the value of y in (200,y) that falls on this line. The slope for these two points is 512; y = 512x + b. Solving for b using (110, 0), 55012 = -b. We get b = -2756. Plugging in (200, y), 100012-55012=y. Simplifying, 45012 = 37.5