Function Word Problems
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- Try a word problem! The Problem: The square patch of grass above needs to be seeded around the 444 identical circular ponds. Write a function for the area (AAA) of grass that ne…
By Ben Ferrara, Zora Gilbert, Alex Federspiel, Joshua Siktar
- Word Problems with Functions Solving word problems with functions is basically the same thing as evaluating a function for a given value. If you need a refresher on evaluating f…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Joshua Siktar
- Example Walk Through: Word Problem Strategy \\ Laurel is a huge fan of hats, she likes all kinds of hats and recently started collecting them. She already owns 333 hats. She pla…
By Christine, Joshua Siktar
Problems 22
- Suppose f(c)=cf(c)=cf(c)=c for all ccc, and f(x+1000)=1234f(x+1000)=1234f(x+1000)=1234 for a particular value of xxx. Find f(2x)f(2x)f(2x).
- The volume of a can is equal to the area of the bottom multiplied by the height of the can. What kind of function is the volume function V(r)V(r)V(r) of the can in terms of the …
- Abby starts a business making bracelets. because of the way her company operates, every time she hires another person to help make bracelets, the number of bracelets she can mak…
- The square patch of grass above needs to be seeded around the 4 identical circular ponds. If you write a function for the area of grass that needs to be seeded AAA in terms of r…
- The branching path above follows a nonlinear function between the number of branches and the number below the tree. What kind of function is it?
- A group of 555 bees are buzzing around on the sidewalk. Their movement can be represented by a function where sss is their placement on the sidewalk in feet and ttt is the time …
- Let xxx be how many months have past since Laurel started collecting hats. Let yyy be how man hats Laurel owns. Can you write a linear function in terms of x,yx,yx,y?
- Ginnie recently started joined a gym. She paid 150 dollars as an initiation fee for joining the gym. The monthly gym fee is 70 dollars. How much will she have paid after the sec…
- Ginnie recently started joined a gym. She paid 150 dollars as an initiation fee for joining the gym. The monthly gym fee is 70 dollars. Let yyy be the total amount money Ginnie …
- How many classes will they have to take every month for the membership to be worth it?
- Say we are looking at a one-month period. Let yyy be the amount of money spent, let xxx be the number of classes taken. Write a function relating x,yx,yx,y
- Let xxx be the number of donuts they sell, what is the profit?
- How old is Sarah if 300 reduced by 2 times her age is 240
- Using the following equation, find the number of puppies in the competition and find the number of races needed to find the top three puppies. n=(k−1)(k+2)2n=\dfrac{(k-1)(k+2)}{…
- Carlos is painting his bedroom walls. His bedroom is a perfect square. The dimension of one wall is 8 by 12 feet. For every 350 square feet, Carlos needs a gallon of paint. How …
- Gab is painting the bedroom walls for a newly built hotel. Roughly every room has a dimension of 13 by 14 feet, with a ceiling height of 8 feet.\\ Gab only paints the walls, not…
- Kat is saving up money for a trip abroad. She already has 255 dollars saved for this trip. Every month, she puts aside 120 dollars for the trip. Her budget for this trip is abou…
- Spider Man is preparing for another day of heroic adventures. He has on his agenda to climb up 161616 different buildings in the city. If xxx is some number greater than 10,10,1…
- Aaron gets a summer job where he works 404040 hours a week, and he is on call during the weekend when he's not working regular hours. When he gets called into work he gets time …
- Allison graduated from high school yesterday and had a graduation party. She got 2,0002,0002,000 dollars from her guests at her party. She is going to college in 3 months and wa…
- Population is modeled by the function P=P0ertP=P_0e^{rt}P=P0ert. Where PPP is the final size of the population, P0P_0P0 is the initial size of the population, rrr is the rate …
- Lisa is selling bags of chocolate covered pretzels. She sells one bag for 555 dollars, five bags for 202020 dollars, and ten bags for 303030 dollars. She only sells twenty bags …