Assume that this situation represents a linear function. Find and interpret the slope of the line that models the data. A scuba diver descends to the bottom of a lake. After 30 seconds, the diver is 146 feet from the bottom of the lake, and after 4 minutes, the diver is just 12 feet from the bottom. If time is measured in seconds, then Slope is ____. If time is measured in minutes, then Slope is

Q: A phone company has a monthly cellular data plan where a customer pays a flat monthly fee and then a…

A: topic -linear function

Q: For tax purposes, you may have to report the value of your assets, such as cars or refrigerators.…

A: To find out the formula for the value of refrigerator which depreciates as a function of time.

Q: The monthly cost of driving a car depends on the number of miles driven. Lynn found that In May was…

A: Given information: The monthly cost of driving a car depends on the number of miles driven. Lynn…

Q: or each dollar a driver spends on gas she can drive 18 miles. assume she bought her car with 16,000…

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Q: Maya is driving to Phoenix. Suppose that the remaining distance to drive (in miles) is a linear…

A:

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: Aldo is driving to Dallas. Suppose that the distance to his destination (in miles) is a linear…

A: Given problem:- Aldo is driving to Dallas. Suppose that the distance to his destination (in miles)…

Q: A Webmaster has tracked an increasing number of registered users since the beginning of  an…

A:

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

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

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A: Given when Chelsea and her friends have driven for 15 hours, they are 1800 miles away from Los…

Q: Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of…

A:

Q: The table of a linear function is partially completed below.  What is the missing y-value to…

A:

Q: A phone company has a monthly cellular data plan where a customer pays a flat monthly fee and then a…

A: Points (10,18.50),(130,24.50)

Q: Which equation of a linear function has a slope of and a y-intercept of-1? O v-1

A:

Q: 3. An appliance manufacturer finds that it costs $9000 to produce 1000 toasters per week and $12,000…

A: when 1000 toaster per week is produced, then cost of production = 9000, when 1500 toaster per week…

Q: For each dollar a driver spends on gas, she can drive 12 miles. assume she bought her car at 23,000…

A:

Q: The number of visitors to the Grand Canyon was 4.8 million in the year 2000 and 6.0 million in 2019.…

A:

Q: use linear functions. Suppose that a car rental agency charges a fixed amount per day plus an amount…

A: Let assume fixed amount per day be represented by x. Assume amount per mile be represented by y.

Q: The table shows the distances, y, from a boat to a scuba diver beneath the surface of the ocean x…

A: Given query is to find the correct statement.

Q: 2004, in-state tuition at Purdue was $6,092. In 2013, in-state tuition was $9,992. If the cost of…

A:

Q: Determine whether the function is linear or nonlinear.If the function is linear,state its slope.

A: Given table is

Q: The number of visitors to the Grand Canyon was 4.8 million in the year 2000 and 6.0 million in 2019.…

A: Function problem

Q: The money i pay for music is a linear function of the number of songs i download.  If i download 7…

A:

Q: A phone company has a monthly cellular data plan where a customer pays a flat monthly fee and then a…

A: Let x=data, y=cost of data For 45 MB data charge $24.30⇒(45, 24.30) For 140 MB data charge…

Q: The table represents a linear function. What is the slope of the function? Height (in.) 8 Time (min)…

A: Simply use the formula for the slope of a linear  function.

Q: Assume that this situation represents a linear function. Find and interpret the slope of the line…

A:

Q: Sonny has entered a reading contest at the local library. After reading two books, he has read…

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Q: Given the linear function below, identify the slope 01 2. O 2 O-2 01 2 02

A: We have to find slope

Q: Determine whether the equation of the curve can be written as a linear function. 3x2 + 8y = 24

A:

Q: Use the table to determine if the distance driven is a linear function or a nonlinear function of…

A:

Q: Which functions are linear? Find the slope if linear. 10. b) c) y = -x + 10 a) 1 15 25 f(x) | 10 10…

A: (a)Given data is

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A:

Q: MAFS.912. F-IF.2.4 50. Jim borrowed $850 to purchase a stereo system for his car. He has been making…

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Q: Assume that this situation represents a linear function. Find and interpret the slope of the line…

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Q: Charlie is driving to San Francisco. Suppose that the distance to his destination (in miles) is a…

A: Given Charlie is driving to San Francisco. Suppose that the distance to his destination (in miles)…

Q: Chelsea and her friends are driving across the US from New York to Los Angeles at a constant speed…

A:

Q: 70 60 50 40 30 20 10 100 200 300 400 500 600 700

A:

Q: Find the equation of the linear function represented by the table below in slope- intercept form. y…

A: The equation of the linear function represented by the slope intercept form is  y = mx+C where m is…

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Q: The graph below shows the profit, P (in thousands of dollars) of a company in a given year, t, where…

A: From the x-y intercept form of the straight line, if the x-intercept is at (a,0) and y-intercept is…

Q: Write an equation for the linear function using the given information. f(x) 5 -2 10 -6 15 -10

A: We use the information given in the table to obtain the linear function. The general form of linear…

Q: Suppose that a company has just purchased a new computer for $2400. The company chooses to…

A: From Given information we have to find respective values in following way.

Q: Assume that this situation represents a linear function. Find and interpret the slope of the line…

A:

Q: The manager of a band gets paid $8000 a show, plus 5% commission on the ticket sales of x dollars.…

A: The manager of the band gets paid for a show = $8000 Commission on the ticket sales =  5% of x…

Q: Some pedometers have a default setting that assumes that the number of steps a person must take to…

A: Let us take the height as h, and it is given that 32 steps decrease with an increase by 1 inch. So…

Q: For the given linear function, make a table of values and sketch its graph. What is the slope of the…

A: ht=12-34t When t=-4, h-4=12-34-4=12+3=3.5 When t=-2, h-2=12-34-2=12+32=2 When t=0,…

Q: (a) As dry air moves upward, it expands and cools. If the ground temperature is 20 Cand the…

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Q: For tax purposes, you may have to report the value of your assets, such as cars or refrigerators.…

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Q: Given a linear function, 1 y = 3x + 3 identify the slope and y-intercept O y-intercept: -3 O…

A: Given linear function: y=13x+3.......................(1)

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.