The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the given question. Be sure you clearly identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described. The cost of leasing a car is $1000 for the down payment and processing fee plus $320 per month. For how many months can you lease the car with $3250?

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: 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: 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: 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: Use the table to determine whether the minimum number of Calories a tiger cub should eat is a linear…

A: Consider the table

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

A:

Q: The points below lie on the graph of a linear function. {(-0.25, 2.5), (1.75, –5.5), (3.25, –11.5)}…

A: Consider the points: -0.25, 2.5,  1.75, -5.5 ,  3.25,  -11.5 To calculate the slope between the…

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

A:

Q: The following situation can be modeled by a linear function. Write an equation for the linear…

A: Given: You can rent time on computers at the local copy center for a $7 setup charge and an…

Q: A bike rental company charges its customers p dollars per day to rent a bike, where 5 <p< 30. The…

A:

Q: When Megastore sells jumbo packages of toilet paper for $20 each, their sales are 1000 packages per…

A: Let they increase the price by $x.  So the new price = $(20+x) New number of sales= (1000-100x) So…

Q: The table below represents a linear function. -4 4 -3 4 -10 8 -17 Which relationship represents a…

A:

Q: The median price of a home in a certain county at the beginning of 1980 was $210,000. At the…

A: Let Mx=ax+b be the median price of a home in the country x years since the beginning of 1980.  From…

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: Given the following equation, what is the slope of the linear function? 2 2

A:

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

A:

Q: The graph of a linear function is shown. 5 4 Wh

A: as x increases y increases therefore slope is positive

Q: To rent office space at Building A, you must pay a one-time fee of $1000 and pay rent of $800 per…

A:

Q: Write a linear cost function for the following situation. A ski resort charges a snowboard rental…

A: Given :   A ski resort charges a snowboard rental fee of $20 plus $9.50 per hour

Q: 00- 66.6 67.4 69.8 70.9 74.3 75.4 50-

A:

Q: The median price of a home in a certain county at the beginning of 1980 was $210,000. At the…

A:

Q: The cost C of purchasing chocolate-covered crickets varies directly with the weight W in pounds.…

A: Follow the procedure given below.

Q: Does the following table of values describe a linear function? If it does what is the rate of…

A: I have given an answer in step 2.

Q: Which linear function relates the total cost of renting a truck in dollars, C, to the number of…

A: here we take the information from the graph and the equation will be solution if satisfy the…

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

A: Let the variable cost and fixed cost to produce a chair be m and b respectively. According to…

Q: The points below lie on the graph of a linear function.…

A: Solution attached below

Q: A bike rental company charges its customers p dollars per day to rent a bike, where 5≤p≤30. The…

A: R(p) = -20p2+600p

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

A: We need to find credit after 73 minutes of calling.

Q: 6. Suppose that Brookdale's tuition is defined as $145 per credit plus student fees which are fixed…

A: Brookdale's tutuion is defined at $145 per credit plus student fee which are fixed at $39.15

Q: A salseclerk makes a base salary of $600 per week plus 15% commission on sales. Write a linear…

A: Given: Base salary of a week:  $60015%  commission on total weekly sale.

Q: A salesperson is paid a base salary of $2000 a month plus a 4% commission on their sales of x…

A: A salesperson is paid a base salary of $2000 a month plus a 4% commission on their sales of x…

Q: The points below lie on the graph of a linear function. {(-0.25, 2.5), (1.75, -5.5), (3.25, –11.5)}…

A:

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

A:

Q: A bike rental company charges its customers p dollars per day to rent a bike, where 5≤p≤25. The…

A:

Q: The following situation can be modeled by a linear function. Write an equation for the linear…

A: Cost of buying 1000$ and processing fee per month is 360$. Therefore, he has to do one down payment…

Q: The following situation can be modeled by linear function. Write an equation for the linear function…

A: Given, current price = 22000 increase at a constant rate of 990 per year Let x be no of years Let y…

Q: A car rental company charges its customers p dollars per day to rent a car, where 45≤p≤200. The…

A: Consider the given: The number of cars rented per day can be modeled by the linear…

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: anager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $5400…

A: Given query is to find linear relationship, slope and the graph.

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

A:

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

A:

Q: family

A: Please refer to the image below

Q: Some time ago, a consultant formulated the following linear model of demand for online novels, where…

A: Here, the monthly demand function is: q=-60p+910 where p is the price in dollars per online novel…

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 a cars depreciation value can be modeled by a linear function where y represents the cars…

A: Given, Car depreciation is modeled by a linear function where y represents the cars value after t…

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: The following situation can be modeled by a linear function. Write an equation for the linear…

A:

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

A: Let y denotes the remaining credit on a phone card. And x denotes the total calling time made with…

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.