9. The gas tank in a truck holds 14 gallons. The truck uses gas at a rate of gal/mi. The amount of gas left after x miles is Found by using y = -x + 14. Write the equation in function notation. Then find f(50), f(150), and f(300).
9. The gas tank in a truck holds 14 gallons. The truck uses gas at a rate of gal/mi. The amount of gas left after x miles is Found by using y = -x + 14. Write the equation in function notation. Then find f(50), f(150), and f(300).
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Problem:**
The gas tank in a truck holds \(14\) gallons. The truck uses gas at a rate of \(\frac{2}{5}\) gallons per mile. The amount of gas left after \(x\) miles is found by using the equation \(y = -\frac{2}{5}x + 14\).
1. Write the equation in function notation.
2. Then find \(f(50)\), \(f(150)\), and \(f(300)\).
**Instructions:**
- **Equation in Function Notation:**
\[ f(x) = -\frac{2}{5}x + 14 \]
- **Calculate the following:**
- \(f(50)\): \_\_\_\_\_\_\_\_\_\_\_\_
- \(f(150)\): \_\_\_\_\_\_\_\_\_\_\_\_
- \(f(300)\): \_\_\_\_\_\_\_\_\_\_\_\_](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1103e0fc-7627-45bd-bf37-7dc33f0aabd0%2F27a76b86-0b28-403c-b8d0-32f93bedca14%2Fuj0qx3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem:**
The gas tank in a truck holds \(14\) gallons. The truck uses gas at a rate of \(\frac{2}{5}\) gallons per mile. The amount of gas left after \(x\) miles is found by using the equation \(y = -\frac{2}{5}x + 14\).
1. Write the equation in function notation.
2. Then find \(f(50)\), \(f(150)\), and \(f(300)\).
**Instructions:**
- **Equation in Function Notation:**
\[ f(x) = -\frac{2}{5}x + 14 \]
- **Calculate the following:**
- \(f(50)\): \_\_\_\_\_\_\_\_\_\_\_\_
- \(f(150)\): \_\_\_\_\_\_\_\_\_\_\_\_
- \(f(300)\): \_\_\_\_\_\_\_\_\_\_\_\_
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