2023 AMC 10A Problems/Problem 8
Contents
Problem
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 degrees Fahrenheit, which is
degrees on the Breadus scale. Bread is baked at
degrees Fahrenheit, which is
degrees on the Breadus scale. Bread is done when its internal temperature is
degrees Fahrenheit. What is this in degrees on the Breadus scale?
Solution 1
To solve this question, you can use y = mx + b where the x is the Fahrenheit and the y is the Breadus. We have (110,0) and (350,100). We want to find (200,y). The slope for these two points is 5/12; y = 5x/12 + b. Solving for b using (110, 0), 550/12 = -b. We get b = -275/6. Plugging in (200, y), 1000/12-550/12=y. Simplifying, 450/12 = 37.5.
~walmartbrian
Solution 2
Let denote degrees Breadus. We notice that
is
degrees to
, and
to
. This ratio is
; therefore,
will be
of the way from
to
, which is
~Technodoggo
See Also
2023 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
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