You want to hire a consultant to design a new logo for your online business. You don’t know how many hours it will take, but you want to get an idea of what you might have to spend. The design consultant you found charges a $500 retainer fee, and $80 per hour.  Let x represent the number of hours the consultant spends with the client. -Find the function f(x) that models the consultant’s fee.  -Find f -1. What does f -1 represent?  -Find f -1 (2500). What does this represent?

Q: function. 2. Determine if the equation x-3y =1 is a function.

A: An equation is said to define a function if for a particular value of x, there exists only one value…

Q: Steven does yard work for his neighbors. He earns $10 for every lawn that he mows plus $3.50 for…

A: Please see the below picture for detailed solution.

Q: The government gives 3 farmers each 200 yards of fence and tells the farmers that they can claim any…

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A:

Q: A counter that charters a boat for for tours can sell 300 tickets at $25 each. for every $5 increase…

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Q: Cole is shopping for raisins in Walmart. He likes the Dole California Seedless Raisins. He sees a…

A: For 12oz of box, cost = 2.98 For 18oz of box, cost = 5.98

Q: Suppose the supply per week for a product is 1254 units if the price per unit is $46 and 1518 units…

A: number of units/week supplied = 1254 price per unit $46 price per unit of 1518 units = 79$

Q: A devastating freeze in California's Central Valley in Sanugry fHhe state's out approximately 75% of…

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Q: When at a restaurant, you tip the wait staff a different percentage based on the price of your meal.…

A: Given, Function is tip. Let T(c) be the function. where, T = %tip c = cost of meal (in $)

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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.