A repair company charges a fixed amount plus an hourly rate for a service call. Suppose it charges $175 for one-hour and $247 for five-hour call. Find a linear function that describes the price of a service call in terms of x, the number of hours. P=

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

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: let  x=h,y=t x1=22,x2=20.3 y1=10,y2=27

Q: Darron is taking college classes while in high school. The classes cost $200 plus $35 for every…

A: y = 35x+200

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: After 12 hours of burning, the height of candle is 27.8 cm. After 27 hours of burning, the height is…

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: Explained below

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

A:

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

A: Given y=-2x+7

Q: Write a formula for a linear function f whose graph satisfies the condition slope -2/3 and y…

A: Given that the slope(m) of the linear function is -2/3 and the y-intercept is (0, 1/5) which means…

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

A:

Q: The z-intercept of the linear function

A:

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

A: The credit is a linear function of calling time.  After 20 minutes of call, remaining credit is…

Q: What is the slope of the linear function given the following table?

A: Solution: The objective is to find the slope of the linear function from the given table

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

A:

Q: Use the graph to write a linear function that relates y to r. y 4 1 -3-2-1 1 2 3 x 2 y =

A: By observing the given graph we find this.

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: 00- 66.6 67.4 69.8 70.9 74.3 75.4 50-

A:

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

A:

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: Consider the given: Let at any time x and y be the height of the candle. Also, height of a candle is…

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A:

Q: For a basic subscription, a cable television provider charges an activation fee of $60, plus $125…

A: Given: Activation fee = $60 Charges per month = $125

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: Suppose that m represents change in height per hour and X represents the number of hours the candle…

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

A: We have a table with different data sets for x and y, and we need to calculate the equation of the…

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

A:

Q: Circle the letter next to the graph if it represents a linear function.

A: We know that the graph of a linear function is a straight line. Among all grapes from A to I, only E…

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: Graph the linear function:

A: Since, we have to graph the linear function:-y=-32x+2   -(i)→Putting the value of 'x'  in equation…

Q: Use the graph to write a linear function that relates y to x. 10

A: Given,

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

A: It is given that the weight of the airplane is a linear function. Also, when airplane carries 25…

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

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: The number of automobiles in a certain small town was in 1890, and in 2015 and 2420 in 2020. If we…

A: Graphically, the linear function representing the relationship between an independent variable let's…

Q: Graph the following linear function using the slope intercept method. Identify the slope and…

A:

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

A:

Q: Given the linear function below, identify the slope 0 3 4 O 4 4 4/3

A:

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: James has a baby daughter. When she was first born, she was 18 inches long, and she grows 1/2 of an…

A: Given height when she was born is 18 inchesShe grows 12 of an inch every month

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

A: Given :            fx=35x+1

Q: 1 3 5 f(x)

A:

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

A:

Q: Write a linear function that relates y to x. x 0 1.5 3 4.5 y 5 4 3 2.

A: See the attachment

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: 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.