You decided to purchase a brand new car for $33,000. You trade it in 9 years later for 11,000. Assuming the car’s value depreciates linearly, how many years would it be worth 21,000.

Q: Assume that the number of defective basketballs produced is related by a linear equation to the…

A: given 6 defective balls are produced in lot of 20011 defective balls are produced in lot of 375.

Q: One-third a number (x) added to one-half the number equals five less than the number

A: given that One-third a number (x) added to one-half the number equals five less than the number. The…

Q: In the 1997, rice was selling at Rs. 6 per kg, cloth at Rs. 20 per metre, housing at Rs. 500 per…

A:

Q: In 1993, the moose population in a park was measured to be 3300. By 1997, the population was…

A:

Q: if the input is hours and the output miles in an linear equation, what are the units of rate of…

A: Here, units of output is hour units of input is miles

Q: The number of vehicles a dealership sells varies directly with the money spent on advertising. How…

A: Here, graph in your uploded question is missing.    But still solving the same type of question what…

Q: population in 1994 was about 5.63 billion, growing at a rate of 2% annually; What is the population…

A: Please refer to the image below

Q: A company charting its profits notices that the relationship between the number of units sold, x and…

A:

Q: Simone invests $4,000 in an account that compounds interest quarterly and earns 9%. How many years…

A:

Q: The time it takes to drive between two cities varies inversely with speed. Leah can drive between…

A:

Q: The manufacturer sold a product at 10 dollars per unit and sold all that was produced. The fixed…

A:

Q: Find the equation of the line through (2,-2) which is perpendícular to the line y =+7.

A:

Q: if the input is hours and the output miles in a linear equation, the units of the rate of change…

A:

Q: The time it takes to drive between two cities varies inversely with speed. Leah can drive between…

A:

Q: On January 1, 2015, a small town had a population of 16,500 people. On January 1, 2020, the…

A: Given,

Q: A man sells an article at a profit of 25%  if he had brought it at 20% less and sold it for $10.50…

A:

Q: The number of songs in your iPad has increased from 200 to 400 in 3 months.  If the number of songs…

A: Suppose that the number of songs is y and the time taken in the increment of songs is x then the…

Q: The function y = 0.75x + 27 models the cost y, in dollars, of driving a rental car x miles. What is…

A: As per bartleby guidelines for more than one question asked only first is to be answered please…

Q: In 1991, the moose population in a park was measured to be 3260. By 1999, the population was…

A: A linear model is obtained between 2 variables when the variables satisfy the line expression…

Q: Find the equation of the line that passes through the following two points: (-2,-18) and( 1,0)

A: Our Aim is to write an equation of the line that passes through the points(-2,-18) and (1,0).

Q: The profit made by a business in 2018 was double that made in 2019. The profit made in 2017 was R 3…

A: The objective here is to find the profit made in 2017. profit made in 2018=2×the profit made in…

Q: A manufacturing company purchased a new diamond tipped saw blade for $7800 and it will depreciate on…

A: A manufacturing company purchased a new diamond-tipped saw blade for $7800 and it will depreciate on…

Q: Cindy has $70,000 to invest and requires an overall rate of return of 9%. Sheinvests her money in…

A: Let she puts $x in 8% account and puts $(70000-x) in 12% account.

Q: When renting a limo for prom, the number of people varies inversely with the cost per person.…

A: Two quantities are said to be inversely proportional when one quantity is in direct proportion to…

Q: Biologists have noticed that the chirping of crickets of a certain species is related to…

A: Aim:  To model T(N) = ?            (A linear model) Where,  T = Temperature (Fahrenheit) N = No. of…

Q: If it costs $250 to vaccinate 5 people against influenzas, and it costs $1000 to vaccinate 30…

A: Let x be the price of vaccination and y be the number of people vaccinated.  Let the linear relation…

Q: The average price of a 0.5-carat round diamond is $3700 and the average price of a 0.75-carat…

A: Given query is to find the cost of 2.5 carat diamond.

Q: A $27,000 car has a resale value of $19,000 five years after it was purchased. Assuming the value of…

A: Given:  A $27000 car has a resale value of $19000 five years after it was purchased. To Find:…

Q: the selling price for a classic speedboat is $10,000. what was the speedboat’s original price if it…

A: The selling price for a classic speedboat is $10,000. To determine the speedboat’s original price if…

Q: Find the equation of the line that passes through the following two points: (-4,3) and (-7,-3)

A: Use the two points form of equation of line.

Q: If it costs $250 to vaccinate 5 people against influenza, and it costs $1000 to vaccinate 30 people,…

A:

Q: A recent study found that one's earnings are affected by the mathematics courses one has taken. In…

A: Given that the earning are affected by the mathematics course one has taken. The earning function is…

Q: jim talk to a college admission advisor. the advisor tells him that the total cost of 3 credits is…

A:

Q: what is a linear equation?

A: An equation having the highest exponent of variables as 1 is called linear equation.The standard…

Q: Find the equation of the line that passes through the following two points: (-5, 8) and (-9, -8

A:

Q: Assume that the number of defective basketballs produced is related by a linear equation to the…

A: See the attachment

Q: Write an equation that models this situation with t being the number of years since 2009.   If…

A: here given, The average  price of a home in a certain town was $125,000 in 2009, but home prices are…

Q: If 10 shirts cost $130 and 30 shirts cost $280, write a linear equation that gives the cost, for n…

A: Given- Cost of 10 shirt = 130 dollar Cost of 30 shirt = 280 dollar Find- Cost of n shirt

Q: For a particular brand of coffee beans, the cost is proportional to the weight of beans You…

A: Cost of 7 ounces = $3.99  Therefore cost of 1 ounce = ($3.99/7)  Since $15 is spend to purchase the…

Q: If 10 shirts cost $120 and 30 shirts cost $230, write a linear equation that gives the cost, C, for…

A: Suppose that the cost of shirt is C and the number of shirts is n. Suppose the linear equation is

Q: A manufacturing company purchased a new diamond-tipped saw blade for $8,700 and it will depreciate…

A: Given, cost of saw blade = $ 8700  it will depreciate on a straight-line basis over the next 6 years…

Q: An office building worth $1 million when completed in 2010 is being depreciated linearly over 50…

A: Given data: The initial value of the office building in 2010 is a=$1 million. The final value of the…

Q: If 10 shirts cost $120 and 30 shirts cost $250, write a linear equation that gives the cost, C, for…

A:

Q: When renting a limo for the number of people is inversely proportional to the cost per person.…

A: p=number of people c=cost per person to remove the proportionality sign we need to multiply…

Q: In 1993, the moose population in a park was measured to be 3710. By 1997, the population was…

A: Given  In 1993, the moose population in a park was measured to be 3710. By 1997, the population was…

Q: Dick and Jane each saved exactly $3000 in 1989. In 1990, Dick saved 8 percent more than he had saved…

A:

Q: An absent minded bank teller switched the dollars and cents when he cashed a check for Mr. Brown,…

A: Given that: When a bank teller processed a cheque for Mr. B, he flipped the dollars and cents,…

Q: Find the equation of the line that passes through the following two points: (-4, 3) and (-7, -3)

A: Use the formula for equation of line in two points form.

Q: If 10 shirts cost a $130 30 shirts cost $240 write a linear equation that gives you the cost

A: 10 shirts cost a $130 and 30 shirts cost $240. Now points in the form of (shirts, cost) are, Now…

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.