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: 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…

A:

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

A:

Q: Christine is driving to New York City. Suppose that the remaining distance to drive (in miles) is a…

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: What is the monthly cost f

A:

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

A:

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

A:

Q: The values in the table below lie on the graph of a linear function. 0.25 2.25 1.75 6.75 3.5 12…

A: Linear equation is (y – y1) = (y2 – y1/x2 – x1) *(x – x1) Substitute (x1, y1) = (0.25, 2.25) (x2,…

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

A:

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

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

Q: A band will be paid a flat fee for playing a concert. Additionally, the band will receive a fixed…

A: Given that,  Let Number of tickets sold = x Amount of band will be paid = y For 30 tickets:…

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

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

A:

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

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: Determine if a line passes through every point in the table. If it does, give its slope. x -2 0 2 4…

A: We have, the given data point as Here, ordered pair x,y satisfy the equation of a line. We know…

Q: find a linear function that models the relationship between the two variables and describe the slope…

A: Given:  Car's worth in 2002 = $18,000 Car's worth in 2007 (Present) = $12,000 Car’s worth…

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

A: Given that, A household's monthly water bill is a linear function of the amount of water the…

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: Find the equation of the linear function represented by the table below in slope- intercept form. 1…

A: Let, the Linear function in slope-intercept form y=mx+b              -------------------(1) Given…

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

A:

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

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

A:

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

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Q: Tom is driving to Seattle. Suppose that the distance to his destination (in miles) is a linear…

A: Given: Tom has 54 miles to his destination after 49 minutes of driving, and he has 33.2 miles to his…

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

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

A:

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

A: Since a linear equation is in the form y=mx+b, so here the slope is given as 1.45, equation would be…

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: The pilot of a Boeing 777 jet takes off from Boston's Logan Airport, which is at sea level, and…

A: Consider the given rate of climbing of the plane and the cruising height of the plane:

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

A:

Q: Forensic scientists can estimate the overall height of an adult male based on the length of a femur…

A: We have to find slope intercept form

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: When a bill is not paid by the due date, a late fee is added each month until the bill is paid. The…

A:

Q: Lamar is driving to New York City. Suppose that the remaining distance to drive (in miles) is a…

A:

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

A:

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

A:

Q: Given the linear function below, identify the slope O-1 O-4 0 1 4 O 1 4

A: From graph the line passing through (0,-1) and (1,3) Therefore the slope (3-(-1))/(1-0) =(3+1)/1…

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.