1. The math club is selling raffle tickets to raise money for the Fall Ball. The raffle tickets cost them $0.07 each at the office supply store and they spent $45 making t-shirts for the club members to wear. They are selling the raffle tickets for $3 each.
If \displaystyle xx represents the number of raffle tickets they sell, the following functions can be used to represent this situation where C(x)C(x) is the club's costs and R(x)R(x) is the amount of revenue they make selling the tickets.
C(x)=0.07x+45C(x)=0.07x+45
R(x)=3xR(x)=3x
Write a function that best describes P(x)P(x), the profit made by the math club during their raffle ticket sales. Write your answer in standard form.
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2. In Will's apartment, the length in inches of one living room wall can be represented by the function R(x) = 9x - 2R(x)=9x−2, where x is the length of his foot. Will is going to place one piece of furniture against the wall. The length of the furniture piece in inches can be represented by the function F(x) = 4x + 5F(x)=4x+5.
Write a function that best describes L(x)L(x), the length in inches of open space along the wall. Write your answer in standard form.
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3. Wendall designs a tower with a height in feet that can be represented by the function T(x) = 16(x + 5.5)T(x)=16(x+5.5), where x is the height of the visible space in a standard office. Then, he decides to include an above ground parking garage under the tower. The height of the parking garage can be represented by the function G(x) = 4xG(x)=4x.
Write a function that best describes B(x)B(x), the height of the building in feet. Put your answer in standard form.
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4. Malik gets paid $7.25 per hour working as a waiter at a local restaurant. His boss also pays him $9 per hour to design graphics for their weekly specials menu. He works a total of 18 hours each week.
The following functions can be used to define this situation. Let \displaystyle xx represent the hours that Malik works each week as a waiter. Let s represent the number of hours that Malik works designing menu graphics each week.
b(x)=7.25xb(x)=7.25x
h(x)=18-xh(x)=18−x
g(s)=9sg(s)=9s
Write the function g(h(x))g(h(x)), and describe what it means in this context. <- PLEASE DO THIS AS WELL
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I was unable to solve these problems, please give me the answer AND the explanation.
I'm sorry, i just need the answers to these question really fast, these were on one of my extra credit activities and my report cards are coming out on friday, these are the 4 questions that I got wrong and my teacher let me correct them. That is why I am posting all this in one thread.
