In a Northwest Washington County, the speeding fines are determined by the formula: F(s) = 14(s - 60) + 60 where F(s) is the cost, in dollars, of the fine if a person is caught driving at a speed of s miles per hour. If a fine comes to $382, how fast in mph was the person speeding? mph
In a Northwest Washington County, the speeding fines are determined by the formula: F(s) = 14(s - 60) + 60 where F(s) is the cost, in dollars, of the fine if a person is caught driving at a speed of s miles per hour. If a fine comes to $382, how fast in mph was the person speeding? mph
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Speeding Fine Calculation in Northwest Washington County**
In a Northwest Washington County, the speeding fines are determined by the formula:
\[ F(s) = 14(s - 60) + 60 \]
where \( F(s) \) is the cost, in dollars, of the fine if a person is caught driving at a speed of \( s \) miles per hour.
**Example Problem:**
If a fine comes to \$382, how fast in mph was the person speeding?
**Solution:**
To find the speed \( s \) at which the person was driving, we need to solve the equation for \( s \):
\[ 382 = 14(s - 60) + 60 \]
First, subtract 60 from both sides:
\[ 382 - 60 = 14(s - 60) \]
\[ 322 = 14(s - 60) \]
Next, divide both sides by 14:
\[ \frac{322}{14} = s - 60 \]
\[ 23 = s - 60 \]
Finally, add 60 to both sides:
\[ s = 83 \]
Therefore, the person was driving at a speed of 83 mph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11f50382-dc41-434c-a8e4-3cb9cbf912c9%2F0d8e751a-4b9c-41bb-89f2-87adabb04079%2Fg86uu2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Speeding Fine Calculation in Northwest Washington County**
In a Northwest Washington County, the speeding fines are determined by the formula:
\[ F(s) = 14(s - 60) + 60 \]
where \( F(s) \) is the cost, in dollars, of the fine if a person is caught driving at a speed of \( s \) miles per hour.
**Example Problem:**
If a fine comes to \$382, how fast in mph was the person speeding?
**Solution:**
To find the speed \( s \) at which the person was driving, we need to solve the equation for \( s \):
\[ 382 = 14(s - 60) + 60 \]
First, subtract 60 from both sides:
\[ 382 - 60 = 14(s - 60) \]
\[ 322 = 14(s - 60) \]
Next, divide both sides by 14:
\[ \frac{322}{14} = s - 60 \]
\[ 23 = s - 60 \]
Finally, add 60 to both sides:
\[ s = 83 \]
Therefore, the person was driving at a speed of 83 mph.
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