For a certain group of animals, the running speed, and feet per second, is a linear Function of the length, In inches. The relationship is: R=2.36L+5.56 If one animal is 5 inches longer than another, how much faster does it run? Don’t forget the label

Q: n account executive receives a base salary plus a commission. On $30,000 in monthly sales, an…

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: NOTE: Refresh your page if you can't see any equations. . x=burning time  y=height of the candle…

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: let  x=h,y=t x1=22,x2=20.3 y1=10,y2=27

Q: A landscaping company charges $43 per cubic yard of mulch plus a delivery charge of $27. Find a…

A:

Q: The temperature T in degrees Fahrenheit is approximately a linear function of the number C of…

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: Explained below

Q: A company that makes sweatshirts finds that the monthly demand is modeled by the equation qD = –8p +…

A: Sketch the graph: The correct interpretation of the slope of this demand function qD is: The…

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: The height(cm) of the candle is a linear function of the amount of time (in hours) it has been…

Q: A manufacturer of economy cars has determined that 54,000 cars per month can be sold at a price of…

A:

Q: The gas mileage, m, of a particular car is determined to be a linear function of the speed, s, at…

A: To convert the word problem into equations connecting the mileage and speed

Q: After 8:00 pm, a ride in a cab cost P25.00 plus P3.00 for every fifth of a kilometer traveled. If a…

A: After 8:00 pm, a ride in a cab cost P25.00 plus P3.00 for every fifth of a kilometer traveled. If a…

Q: fter 1 minute, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended…

A: According to question After 1 minute, a submarine had descended to −320 feet. and After 8 minutes,…

Q: For the linear function f(x) = -2x+1 , find the following Slope and Y-intercept. Is the function…

A: the given linear function is: f(x)=-2x+1 we have to find the following: 1) slope and y intercept. 2)…

Q: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the…

A:

Q: The cost for a certain rental hall is a linear function of the number of guests. The cost for 20…

A: Given::The cost of 20 guest=$950The cost of52 gurestss=$1910

Q: A company finds it can produce 15 heaters for $4300, while producing 25 heaters costs $6900. Express…

A:

Q: Bill was just offered a sales position for a computer company. His salary would be $15,000 per year…

A: Given: His salary is $15,000 per year plus 1% of his total annual sales.

Q: Bill was just offered a sales position for a computer company. His salary would be $25,000 per year…

A: We will use linear function for salary as function of sales to find required values

Q: A new york truck sells for $63,000 and depreciates at $-7,000 per year. Write a linear function of…

A: The buying price of the truck was $63,000⇒b=63000 The value depreciates at $7000 per year.⇒m=-7000

Q: In the newspaper delivery department, the number of subscribers is x, the number of delivery…

A: (a) to find the number of supervisors needed s=p15as a function of x, the number of subscribers, we…

Q: A car rental company charges its customers p dollars per day to rent a car, where 35≤p≤175. The…

A:

Q: Which expression can be used to determine the slope of the linear function represented in the t y 4.…

A: Here we have to find the slope of the given linear function represented in the table.  x y 0 5…

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: Suppose that m represents change in height per hour and X represents the number of hours the candle…

Q: A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and…

A: Let x be the number of stalks she plants and y be the amount of beans, each plant yields. Consider…

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: Given query is to find the height of candle after 14 hours.

Q: Given the linear function below, -3 identify the slope 3 0 3 2 N/3 N/3

A: Take the two points indicated on the graph and use the formula for the slope.

Q: the monthly cost (in dollars) of water use is a linear function of the amount of water used (in…

A: Let m represents the cost of water per HCF. X represents the number of HCF of water used. And k…

Q: A store charges 1.50 for a 20-oz bottle of sport drink. Which equation best represents the total…

A:

Q: A restaurant calculates that its average daily profit can be modeled as a linear function of the…

A:

Q: You can make 2 gal of liquid fertilizer by mixing 9 tsp of powdered fertilizer with water. Represent…

A:

Q: For $1200, a business can post an advertisement for 30 days. For $1500, the advertisement will be…

A: Given, Cost of advertisement for 30 days = $ 1200 Cost of advertisement for 60 days = $ 1500  We…

Q: The number of people afflicted with the common cold in the winter months dropped steadily by 25 each…

A: As ‘C’ denotes the number of people afflicted with common cold and let ‘t’ be the years after 2002…

Q: In 2009 the number of vehicle sales in the United States was 10,602 and in 2013 it was 15,884.…

A:

Q: Christina, a real state agent, makes a weekly pay of P7,000, plus sales commission on each property…

A: To express the salary as a function of sales.

Q: A company paid $150,000 for a new 18-wheeler. When it is 9 years old it will be worth $60,000. Using…

A: The straight line depreciation means the value of truck decresing with the same amount every yearAt…

Q: decide if the function is linear y=2x-2

A: We have given an equation

Q: Define the domain and range, write a linear function that represents my heat bill and answer the…

A: Let us consider, x1=240 hrs, &  y1=$244.80x2=500 hrs, &  y2=$471   so  we can find the slope…

Q: Given the linear function below, identify the slope 0 3 4 O 4 4 4/3

A:

Q: A manufacturer of economy cars has determined that 50,000 cars per month can be sold at a price of…

A: Solution: A linear function that predicts the number of cars that will be sold at a price of x…

Q: Suppose f is a linear function with slope -5 and f(2)=9 find the equation for f

A: The objective is to find the equation for f.

Q: Given the function values f(−3)=4 and f(3)=10, write a linear function f(x)=mx+b. (hint: you may…

A: The formula of the slope of a line is, m=y2-y1x2-x1 the equation tells us that x1=-3 and y1=4. the…

Q: For a certain group of animals, the running speed, in feet per second, is a linear function of the…

A:

Q: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the…

A:

Q: determine whether the following equation can be written as a linear function. 9y+3x=10

A:

Q: Bill has just been offered a sales position for a computer company. His salary would be $25,000 per…

A: Part (a) -Salary of Bill per year = 25000 $Salary of Bill for 1 sale = 1% of 1Salary of Bill for x…

Q: In a Washington town, the charge for commercial waste collection is $694.55 for 5 tons of waste and…

A:

Q: For Americans who are x years of age, the percentage who have been diagnosed with diabetes is given…

A: We will find the meaning and the slope as following.

Q: In physics, the (absolute) pressure P in newtons per square meter at a point h meters below the…

A: Let the equation of pressure represent following equation  P = ah + b   .... (A)

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.