A company finds it can produce 15 heaters for $4300, while producing 25 heaters costs $6900. Express the cost, y, as a linear function of the number of heaters, x. Determine the cost to produce 30 heaters. Express the cost, y, as a linear function of the number of heaters, x. (Simplify your answer.) The cost to produce 30 heaters is $

Q: n account executive receives a base salary plus a commission. On $30,000 in monthly sales, an…

A:

Q: Determine if the two linear functions below are parallel, perpendicular or neither. y = 2 +7 and 5x…

A:

Q: A landscaping company charges $43 per cubic yard of mulch plus a delivery charge of $27. Find a…

A:

Q: The temperature T in degrees Fahrenheit is approximately a linear function of the number C of…

A:

Q: A landscaping company charges $47 per cubic yard of mulch plus a delivery charge of $26. Find a…

A: For 1 cubic yard of mulch, the cost is $73. Therefore total cost for x cubic yards of mulch is given…

Q: Which set of ordered pairs (x, y) could represent a linear function?

A:

Q: Create a table for the following linear function and then graph the line: y = -2x + 7

A: Given y=-2x+7

Q: The Summer store is dedicated to the sale of swimwear. He finds that for a price of $ 32.00 for each…

A: A linear model between 2 variables x and y can be represented by the expression . Here, m is the…

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: determine whether or not the equation represents y as a function of x x=y2 +4

A: x=y2 +4 =>y2 = x-4 =>y=x-4

Q: After about 9 hours of a steady 50-knot wind, the height of waves int he ocean was found to be 23…

A: Let y feet be the height of waves after x hours of a steady 50-knot wind. Then according to the…

Q: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the…

A:

Q: What is the linear function for y=-3/4x+3

A: Let's find.

Q: Graph the linear function f(x) = -2.

A: Graph the linear function f(x) = -2.

Q: The cost of producing 480 DVDs is $855. Producing 780 DVDs would cost $948. Step 2 of 3 : Assuming…

A: Use linear function concept

Q: Bill was just offered a sales position for a computer company. His salary would be $15,000 per year…

A: Given: His salary is $15,000 per year plus 1% of his total annual sales.

Q: Bill was just offered a sales position for a computer company. His salary would be $25,000 per year…

A: We will use linear function for salary as function of sales to find required values

Q: Graph the linear function. f(x)=1/4x+5

A: f(x)= (1/4)x+5Lets make a table for this function.Took x=0,4 and -4, found values of ys for those xs…

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

A:

Q: Bill was just offered a sales position fora computer company. His salary would be $25,000 per…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Graph the linear function: f(x) = - (3/2)x + 2.

A: Solution -  The given linear function is - f(x) = -32x + 2 Domain of the function - R (all real…

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

A:

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

A:

Q: Which expression can be used to determine the slope of the linear function represented in the t y 4.…

A: Here we have to find the slope of the given linear function represented in the table.  x y 0 5…

Q: Use the slope and the y-intercept to graph the linear function f(x) = 1/4 x - 3.

A: To graph the linear function f(x) = 14x - 3.

Q: Graph the linear function using the slope and​ y-intercept. f(x)=-8/9x

A:

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: the monthly cost (in dollars) of water use is a linear function of the amount of water used (in…

A: Let m represents the cost of water per HCF. X represents the number of HCF of water used. And k…

Q: For a certain group of animals, the running speed, and feet per second, is a linear Function of the…

A: Assume the length of one animal be L. So, the length of another animal will be L+5.

Q: A restaurant calculates that its average daily profit can be modeled as a linear function of the…

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: A company paid $150,000 for a new 18-wheeler. When it is 9 years old it will be worth $60,000. Using…

A: The straight line depreciation means the value of truck decresing with the same amount every yearAt…

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

A:

Q: decide if the function is linear y=2x-2

A: We have given an equation

Q: If f(x) is a linear function, f( – 5) = 4, and f(3) = – 2, find an equation for f(x). -

A: Given that ; f(x) is a linear function. When we draw a line then equation of line has two variables…

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.4) 5+ 4- 3- 2 56 -5 4…

A:

Q: Graph the linear function: f(x) = (3/5)x + 1.

A: Given :            fx=35x+1

Q: 1 3 5 f(x)

A:

Q: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the…

A: The linear function with a slope m and point (x1,y1) is given by  (y-y1) = m( x-x1)

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: Find the equation of the linear function represented by the table below in slope- intercept form. 3…

A:

Q: nds it can produce 10 heaters for $2700,while producing 15 heaters costs $3950. Express the cost, y,…

A: The problem gives us two points .10,2700 and 15,3950It was linear , so it fits the slope-intercept…

Q: Use the graph to write a linear function that relates y to z. y. 543-2-1 -1 2 3 45 -2 -3 -4

A: All four points lie on the same straight line. The points are (-1,4),(0,1),(1,-2) and (2,-5). The…

Q: determine whether the following equation can be written as a linear function. 9y+3x=10

A:

Q: Given the function values f(0)=−4 and f(5)=0, write a linear function f(x)=mx+b. (hint: you may need…

A:

Q: what is the slope of the linear function 2x-9y=19?

A: Definition: The slope-intercept form of a line is y=mx+c, where m is the slope of the line and c is…

Q: In a Washington town, the charge for commercial waste collection is $694.55 for 5 tons of waste and…

A:

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.