The linear function T = ÷C+47 also predicts the temperature in Fahrenheit %3| based on the input of the number of cricket chirps in 15 seconds. 140 120 Temperature x+47 (in degrees fahrenheit) 100 80 60 40 20 Number of Cricket Chirps (per 15 seconds) 40 -20 20 40 60 80 100 120 140 160 180 200 220 240 200 280 300 320 340 -20 -40 112

Q: Newborn blue whales have a length of about 24 feet and weight 3 tons. These young whales are…

A: Part (a):New born whale, at t = 0, length of whale, L = 24 feet and weight of whale, W = 3…

Q: Suppose f is a linear function such that f(3) = 3 and f(7) = -4. Find the equation for f. (Use x as…

A:

Q: n 1980, the minimum wage was $3.10 per hour, and in 1997 it was $5.15 per hour. Find a linear…

A: In 1980, the minimum wage was $3.10 per hour, and in 1997 it was $5.15 per hour. Find a linear…

Q: Identify each situation as representing a linear function or not. x012 y 1 2 5 | 10 3 Sophia adds 2…

A: From the given data which one is linear function or not.

Q: you start with $150 in your account and withdraw $5 a week. Model this situation with a linear…

A: We have to model the given situation with a linear function.

Q: Do the ordered pairs in the table represent a linear function? x 0 2 6 12 20 30 y -1 -1 -1 -1 -1 -1

A: Given  x 0 2 6 12 20 30 y -1 -1 -1 -1 -1 -1

Q: Water freezes at a temperature of 0° on the Celsius scale and 32° on the Fahrenheit scale. Water…

A: Water freezes at a temperature of 0° on the Celsius scale and 32° on the Fahrenheit scale. Water…

Q: The marriage rate per 1000 woman for the years 1985-2014 can be modeled by the function 132x + 1000y…

A:

Q: Write a formula for a linear function f whose graph satisfies the condition slope -2/3 and y…

A: Given that the slope(m) of the linear function is -2/3 and the y-intercept is (0, 1/5) which means…

Q: The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and…

A: Let,  C(x) is a linear function that models the cost of producing xchairs in one day. To find : The…

Q: Which of the following is a linear function? a. f (x) = 2 + x + x2 b. f (x) = 2/x + 7 c. f (x) =…

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Q: The bar graph shows the percentage of country A high school seniors who applied to more than three…

A:

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: The credit is a linear function of calling time.  After 20 minutes of call, remaining credit is…

Q: The percentage of automobile consumers who are under 50 years of age decreased approximately…

A:

Q: supply

A: Please refer to the image below

Q: Which situation can be modeled by a linear function? A. The population of bacteria triples every…

A: To determine which of the given situations can be modelled as a linear function.

Q: 4. A survey shows that if the cost to buy a shirt is $5.00 then 300 students are willing to purchase…

A: Let total cost of 1 shirt = C(x) x=number of students C(x)=ax+b When 1 shirt = $5 x=300…

Q: Write the linear function in slope-intercept form satisfying the given conditions: Graph of g passes…

A: It is given that the required linear function is perpendicular to thegiven equation x+3y-6=0and…

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A:

Q: The graph of a linear function f is shown. ldentify the slope. Ay 5- A. -4- О В. 3 -3- 2- Oc. O D.…

A:

Q: A company has determined that its profit for a product can be described by a linear function.  The…

A:

Q: 2. Determine whether the given function is linear or nonlinear. If it is linear, determine the…

A: We find the slope (m) of the line passing through the given set of points as follows:…

Q: Data from 2005 for various age groups show that for each $100 increase in the median weekly income…

A: Let W denotes the median weekly income for whites and B denotes the median weekly income for blacks,…

Q: Suppose f is a linear function such that f(3) = 5 and f(9) = -4. Find the equation for f. (Use x as…

A:

Q: When the owner of a gas station sets the price of 1 gallon of unleaded gasoline at $2, he can sell…

A:

Q: a) Use the first and last data points in the table to find a linear function in which y represents…

A: The linear trend is given as, Y=a+bXwhere,a=Y-interceptb=slope of the lineX=independent…

Q: Write a linear function that relates y to x . y 3 2 1. 2 3 4 5 x

A: we know that a straight line given by formula y-b=m(x-a) where m is slope of line

Q: Jason has a baby daughter. When she was first born, she was 19 inches long, and she grows 3/4 of an…

A: Her height when she was born = 19 inches. She grows = 3/4 inches per month. Her height grows in a…

Q: The chart to the right shows a country's annual egg production. Model the data in the chart with a…

A: Let x represent the year and y represent the egg production .Here x = 0 represent 1994 , x = 1…

Q: Suppose f is a linear function such that f(2) = 5. If the slope of f is 2.7, then what is f(6)? f(6)…

A: We have to find function value

Q: suppose f is a linear function with f (6)= 18.04.  If the slope of is 2.34, what is the value of f…

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 demand for gasoline can be modeled as a linear function of price. If the price of gasoline is p…

A: Given:- If The Price of gasoline is p = $3.10 per gallon,the quantity demanded in a fixed period is…

Q: The corresponding data for electricity generated by hydropower are 248 million meaawatt hours in…

A:

Q: Which function is linear? B.

A: Graph of any linear function is a straight line. Here in the 1st, 3rdd and 4th options the graphs…

Q: In certain parts of the world, the number of deaths N per week has been observed to be linearly…

A: Given : Average concentration x of sulphur dioxide in the air At x = 100 and N = 97 At x - 500 and N…

Q: The following table shows worldwide sales of a certain type of cell phone and their average selling…

A: Consider the given data of the number of cell phones sold and their average selling price for the…

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: Credit Remaining after 40 minutes call is 14.80$ Credit Remaining after 79 minutes call is 9.73$ we…

Q: A gaming system purchased for $2,750 is to be depreciated linearly over 4 years and has a scrap…

A:

Q: Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in…

A: Given:- Suppose that the weight (in pounds) of an airplane is a linear function of the amount of…

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A:

Q: The credit remaining on a phone card (in dollars) is a linear function of the total calling time…

A: Slope of  a line is constant all the way along it. So slope of a line can be calculated using any…

Q: Does the following table represent a linear function? If so, find the linear equation that models…

A:

Q: The profit earned by selling soap at a craft show can be modeled by the graph of the linear function…

A: The formula for the rate of change is given by y2-y1x2-x1. From the given graph, observe that the…

Q: Which situation can be modeled by a linear function? <1) The population of bacteria triples every…

A: Definition used -                      A linear function is a function that has an equal slope for…

Q: -2 2 4 6 f(x) 12 9 6

A:

Q: The teble represents some polnts on the graph of a linear function -. -1 2. 16 1. -2 Which function…

A: We will find the slope and the equation.

Q: 3. Determine if the data is linear or exponential and find a function that models the data: -4 -2 2…

A:

Q: The table of values below represents a linear function and shows the amount of snow that has fallen…

A: We are given the following table.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.