Difference between revisions of "2024 AMC 10A Problems/Problem 2"
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\end{align*} | \end{align*} | ||
Solving for the values <math>a</math> and <math>b</math> gives you that <math>a=30</math> and <math>b=\frac{3}{100}</math>. These values can be plugged back in showing that these values are correct. | Solving for the values <math>a</math> and <math>b</math> gives you that <math>a=30</math> and <math>b=\frac{3}{100}</math>. These values can be plugged back in showing that these values are correct. | ||
− | Now, use the given <math>4.2</math> mile length and <math>4000</math> foot change in elevation, giving you a final answer of <math>\boxed{\textbf{(B) }246}.</math> | + | Now, use the given <math>4.2</math>-mile length and <math>4000</math>-foot change in elevation, giving you a final answer of <math>\boxed{\textbf{(B) }246}.</math> |
Solution by [[User:Juwushu|juwushu]]. | Solution by [[User:Juwushu|juwushu]]. |
Revision as of 16:10, 8 November 2024
Problem
A model used to estimate the time it will take to hike to the top of the mountain on a trail is of the form where and are constants, is the time in minutes, is the length of the trail in miles, and is the altitude gain in feet. The model estimates that it will take minutes to hike to the top if a trail is miles long and ascends feet, as well as if a trail is miles long and ascends feet. How many minutes does the model estimates it will take to hike to the top if the trail is miles long and ascends feet?
Solution 1
Plug in the values into the equation to give you the following two equations:
Solution by juwushu.
See also
2024 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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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