Brian's Parents internet provider charges them $49.50 each month plus $6.75 for every gigabyte downloaded, where x is the number of gigabyte downloaded and y is the total monthly charge. Write a function that represents this relationship?

Q: Identify the function as linear, quadratic, or exponential. x -2|-1|0|1|2 y 4|2|1|0.5|0.25

A: The table is given by x -2 -1 0 1 2 y 4 2 1 0.5 0.25 To determine : The name of relationship…

Q: Write the equation that would shift the function f(x) = x' up 2 units and left 3 units.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re…

Q: Graph both the parent function and the new function and fill in the graph

A: Given: y=cos12x

Q: The relationship between the amount of time a car is parked, in hours, and the cost of parking, in…

A:

Q: The table represents the number of solar panels sold in a sunny city since January of 2010. Which…

A: Initially from 0 to 4 months there is an increase of 320 Solar panels (640-320). From 4 to 8 months…

Q: Write an equation for a function that has the graph with the shape of y =x2, but upside-down and…

A:

Q: The value, V, of a computer can be modeled by the function y) = 1, 300(61)', where t is the number…

A: Given that V represents the value of a computer and t represents the number of years since the…

Q: The value of a car that depreciates over time can be modeled by the function H(t) = 14000(0.8)+3.…

A: Write H(t) =14000 (0.8)t+3 in form of H(t) = abt

Q: A 10-inch sunflower is planted in a garden and the height of the sunflower increases exponentially.…

A: Given: A 10-inch sunflower is planted in a garden and the height of the sunflower increases…

Q: Graph the following equations and explain why they are not graphsof functions of x.|x |+ | y | = 1

A:

Q: Ms. Castillo, a sales representative, receives a base monthly salary of $4070. She also earms a 2.3%…

A: First find the sales commission 2.3% of x unit sale than add to base monthly salary.

Q: For a recently released movie, the function y = 119.67(0.61)* models the revenu earned, y, in…

A: Given query is to find the difference of  revenue earned in week 3 and 5.

Q: Write the function whose graph is the graph of y = x2 , but shifted to the left 3 units and shifted…

A: Write the function whose graph is the graph of y = x2 , but shifted to the left 3 units and shifted…

Q: The current exchange rate between US dollars (USD) and Israeli shekels is 1 Dollar = 3.57 shekels,…

A:

Q: Write the function whose graph is the graph of y = √x, but reflected about the y-axis.

A: y=x

Q: Suppose that a phone card has 400 min. Write a relationship that represents the number of minutes…

A: The total number of minute the phone card has 400 minutes. Since x minutes are already used, so find…

Q: Write the equation of the function with h(5) = 12 and h(–3) = –4

A: Introduction: A function is simply an arithmetic object generating an output when an input is…

Q: Graph the function f(x)=x after it has been vertically shifted −4 units.

A:

Q: this is not a writing assignment  For each situation, determine the independent variable, dependent…

A: # We are entitled to solve three subparts at a time, please resubmit the other parts if you wish to…

Q: A 8-inch sunflower is planted in a garden and the height of the sunflower increases exponentially.…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Every month your cellphone plan costs P3,750.00 and gives you unlimited talk, 500 text messages, and…

A: Given the data.

Q: Graph the following linear functions using x-intercept and y – intercept 1. f(x) = * 3x +3

A: Given:            fx=3x4+3 Rewrite the given equation as          y=3x4+3 To find the intercepts,…

Q: Write the function whose graph is the graph of y = x, but is translated 2 units to the left and 3…

A: Find the translated function equation

Q: In 1976 the population density of a country was 55 people per square mile, and in 2001 it was 75…

A:

Q: Use the graph of the function to find its average rate of change from x = -9 to x -5. Simplify your…

A: average rate of change be "R"points x=-9 , x=-5Rate of change is gevn by R=f(b)-f(a)b-aat x=-9 ,…

Q: The total attendance at a contemporary art museum is modeled by the function f(x) = 18,933(1.047)'.…

A: The total attendance of the contemporary art museum is modeled by the function ; f(x)=18,933(1.047)x…

Q: Decide whether graphs A, B, or both represent functions.

A:

Q: Suppose an investment of $3,800 doubles in value every decade. The function (x) = 3,800 - 2"…

A: Given, after x decades the value of the investment is f(x) = 3800·2x We have to find the investment…

Q: Differentiate the function y = e0.3t

A: This question is related to differentiation, We will solve it using given information.

Q: Graph the following equations and explain why they are not graphsof functions of x. y2 = x2

A:

Q: y First Ratio Second Differences Differences -3| 243 -2 81 -1 27 9. 1 3 2 1 (2) 1 - 3

A: Given: A table of data. To decide if the table represents a function which is linear, quadratic or…

Q: Which function results when the graph of the function y = 6 is translated 2 units to the right and 1…

A: The solution is given as

Q: Determine the rate of change from the following graph. O-2 02 1/2 -/2

A:

Q: Write a function in terms of tt that represents the situation. Sales of $10,000 increase by 65%…

A: Given,  a=$10,000 r= 65%   Formula: s(t) = a×(1+r)t

Q: The total cost of a ride, C, in British pounds (GBP), on BlackCabs can be modelled by the function C…

A:

Q: Solve for the slope of each of the given point of a function

A: Given that,

Q: Write a function that reflects f（x）= 2x^3 + 1 across the x-axis and shifts it 3 units down.

A:

Q: For a long-distance phone call, the phone company charges $⁢0.70 for the first 8 minutes or less,…

A: The company charges a constant charge for phone calls if we are using phone calls for first 8…

Q: A Businessman earns a basic salary of R1 000 plus RS00 commission for every item he sells. 5.1 Write…

A: Explained below

Q: y 8. 15 24 35 48 2. 3. 4)

A: Solution:-.

Q: 7 5 4 3 2 1

A: the equation of parabola in standard form when the vertex is not at the origin and the axis of…

Q: Write h(x) = | − 8 − 3x| as an equivalent piecewise-defined function.

A:

Q: A party planner needs to figure out how much it will cost her client to rent a space and pay person…

A:

Q: For the function y= 400-21x, find the rate of change.

A: we have to find the rate of change, y=400-21x........(1)

Q: Create a table to represent the amount of money that Greg has earned for the Jump-a-thon as a…

A: Given: Greg earns $4 for each minutes he jump. To complete the given table and form the function to…

Q: Graph the following function. (x) = 2(x – 4)2 – 4 Use the graphing tool to graph the function. Click…

A: Here we have to graph the function

Q: Write an equation of the function g(x) that is the graph of f(x) = |x|, but shifted right 5 units…

A: The given function is

Q: Write the function whose graph is the graph of y=x3​, but is translated 2 units to the left and 4…

A: Given:     y=x3

Q: A banquet hall charges $975 to rent a reception room, plus $39.95 per person. Next month, however,…

A: Suppose cost of an article is $x and after offering y% of discount, the discounted cost will be $x-x…

Q: Find the relative rate of change if f(x) = 10 - 3e-42. |

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.