**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:** - $f(50)$: \_\_\_\_\_\_\_\_\_\_\_\_ - $f(150)$: \_\_\_\_\_\_\_\_\_\_\_\_ - $f(300)$: \_\_\_\_\_\_\_\_\_\_\_\_

Answered: Image /qna-images/answer/27a76b86-0b28-403c-b8d0-32f93bedca14.jpg

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,...

See similar textbooks

Related questions

Q: Finbar bought his home for $150,000 in 2010. Property values have increased 10% every year since he…

A: Given, in 2010 Finbar bought his home $150,000 property value increase 10% every year, To find the…

Q: Write the equation for the following function f(x). -5 5. -5

A: The given graph is a parabola Standard equation of a parabola x-h2=4ay-k where (h, k) is the vertex…

Q: For this function y = −2log3 (x + 4) a.Number and label each axis.

Q: Fill in each blank for the function f(x) = 3x - 6. solve for each f(-4) f(4) f(-2) f(0)

A: Given function fx=3x-6. We need to find following parts, f-4, f4, f-2, f0.

Q: A recipe says to use 2 teaspoons of vanilla to make 36 muffins. What is the constant of…

A: Given, y: no of muffins made. x: no of teaspoons of vanilla used. the constant of proportionality k…

Q: Kelly's office recycled a total of 162 kilograms of paper over 9 weeks. After 12 weeks, how many…

Q: 10. Determine whether the equation y = 2x2 − 3x + 4 is a function.

Q: The equation M(x,y) = 73 +0.8x -0.9y gives the mileage (in mpg) of a new car as a function of tire…

Q: Cameron stops to get gas soon after beginning a road trip. He checks his distance from home 2 hours…

A: We have to find the equation that models Cameron's distance from home as a function of the time…

Q: A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of the metal…

A: Given , A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of…

Q: Try to find a "guess function" for the equation y" – 4y = 16xe2". What happens when you plug in the…

Q: The height (in meters) of a ballistic t seconds after being launched is modeled by the function h…

A: For an equation for distance, with respect to time, we can find the velocity and acceleration, by…

Q: х + 40, where 4 b. The temperature (in degrees Fahrenheit) can be approximated by the function c(x)…

A: For a function, y=f(x) , x is the independent variable and y is the dependent variable . Consider…

Question

100%

**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:**

- $f(50)$: \_\_\_\_\_\_\_\_\_\_\_\_
- $f(150)$: \_\_\_\_\_\_\_\_\_\_\_\_
- $f(300)$: \_\_\_\_\_\_\_\_\_\_\_\_

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The lower the price for purchasing a song from an online music store, the more times the song is downloaded. Let d=r(p) give the average number of daily downloads of a song as a function of the price of the song (in cents). Let p0 be the price currently being charged for the song (in cents).What does the statement p0⋅r(p0) tell you about the number of downloads from the store? The average daily revenue of the music store if the current price is doubled. The total number of times the song is downloaded at the current price. The average revenue earned per download at the current price. The average daily revenue of the music store from selling the song at the current price. The total revenue of the music store when p0 songs are downloaded in a day.
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 31 liters per minute. There are 600 liters in the pond to start Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added. Write an equation relating W to T. Then use this equation to find the total amount of water after 14 minutes. Equation: O=0 Total amount of water after 14 minutes: liters
Write the following equation using function notation. Do not add any spaces. 9y – 26x + 6 +y= 10x – 3 + f (x) =
A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. Let y represent the length (in feet) of a side perpendicular to the dividing fence, and let x represent the length (in feet) of a side parallel to the dividing fence. Let F represent the length of fencing in feet. Write an equation that represents F in terms of the variable x. F(x) = Find the derivative F'(x). F'(x) = Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = What should the lengths of the sides of the rectangular field be (in ft) in order to minimize the cost of the fence? smaller value ft larger value ft Submit Answer
The annual cost of attending a particular college increases by 6% each year. When the college first opened many years ago, the cost to attend was $550 per year. Write an equation that expresses the annual cost (C) as a function of the time (f) in years that the college has been open. C=
Subtract the given functions and indicate the domain difference
The value of the fuction f(×) is 600 when x= 0 and decreases by 9% for every one - unit increase in x .complete the equation that represents the fuction f(×).
Perform the requested composition or operation.Find (f-g)(-2) when f(x)=−4x2+6 and g(x) =x−6
When there is no wind, a runner is able to run 10 000 m at an average speed of x m/s. When he runs with a tailwind, his average speed increases by 0.05 m/s and it takes him 15 s less to run the 10 000 m. The equation shown below represents this relationship. 10 000 10 000 x+0.05 X = 15, x > 0 6. When there is no wind, find the runner's average speed, to the nearest hundredth of a metre per second.
use linear functions. Angela has three aquariums that hold 10 gallons, 20 gallons, and 50 gallons, respectively. She uses the function f (v) = (1/2) v + 4 to determine the number of fish that can live comfortably in an aquarium where v is the volume of the aquarium in gallons. Use the function to determine the number of fish for each aquarium.