An agency charges $100 per person for a trip to a concert if 50 people travel in a group. But for each person above the 50, the amount charged for each traveler will be reduced by $3. If x represents the number of people above the 50, write the agency's revenue R as a function of x. (Assume that x is greater than zero.)

Q: A company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs…

A: Given: Cost of a CD is $15. Fixed cost to produce a CD is $30000 Selling price of the CD is $52 To…

Q: The perimeter of a square is x. Write the area of the square as a function of x."

A: area of square = side2

Q: State the domain and range of the function. ƒ1x2= x2 - 5x + 6 / x - 2

A:

Q: Tyler plans to purchase at least 2 pounds of chicken salad that costs $4.82 per pound.  Based on…

A: Please see the below answer for detailed solution.

Q: The Circle "K" Club is planning a service project for children at a local children's home. They plan…

A:

Q: Do each of the following equations represent a function? a. –x+y=10 3 b. y² =x-5

A: Given that: a. 23x+y=10b. y2=x-5

Q: A t-shirt shop charges the following: An initial charge of $50 to create the silk screen. $17.00…

A:

Q: Graph the following functions.

A: f(x)=x2-x-2x-2if x≠24if x=2

Q: The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and…

A: If a customer uses 230 minutes, the monthly cost will be $120.5. If the customer uses 750 minutes,…

Q: A Zumba instructor charges according to the number of participants. If there are 15 participants or…

A: Given- A Zumba instructor charges according to the number of participants. For 15 participants or…

Q: Write the equation for the following function: 10 9. 8 7. 4 1 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4 5…

A: we know that equation of a line using two points(x1,y1) and (x2,y2) is gievn…

Q: A motel owner observes that when a room is priced at $90 per day, all 50 rooms of the motel are…

A: topic - equations

Q: An HVAC technician charges a flat fee of $99 and an additional $50 per hours. Express this as a…

A: Given that  An HVAC technician charges a flat fee of $99 and an additional $50 per hours. To Express…

Q: Suppose you receive $100 for a graduation present, and you deposit it in a savings account. Then…

A: Given: Initial deposit: $100 each weak thereafter added $5 Let you added for x weeks Let amount at…

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…

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.