Name ______Date ______Per ______
Story Problems to Functions Practice
A swimmer burns 8 calories every minute she swims. How many calories will she burn after m minutes?
C = 8m
A leaky faucet is dripping water at a rate of a 1/2 cup per hour. How much water will be in the bath tub x hours later?
W = ½ x
A baker can decorate 3 cakes every hour. How many cakes will he be able to decorate in x hours?
D = 3x
A baker can decorate 3 cakes every hour. If he already has 10 done, how many total cakes will he have decorated in x hours?
D = 3x + 10
A cell phone company charges $20 per month and $0.05 per minute. How much will a person spend if they talk for m minutes?
C = 20 + .05m
Mrs. Benecke runs 2 miles on her first day of training. If she adds another .25 miles each day she runs, how far will she be running d days later?
R = 2 + .25d
The temperature outside is 80 degrees right now. For a certain part of the day the temperature drops 5 degrees every hour. What will it be x hours later?
T = 80 – 5x
A diver is 300 feet below the surface. In order to rise safely, he comes up at a rate of 20 feet per minute. What will his depth be x minutes later?
D = -300 + 20x
A lake has 300 bass in it. If 25 bass are caught each year, how many are left after x years? (Assume no new fish are added or born). Next level: What do the x and y intercepts mean?
F = 300 + -25x
Some students are making their favorite math teacher some cupcakes. They are able to make 2 dozen each hour. Their mom says they have to make 4 dozen for her too. If the students work for x hours, how many cupcakes will they be able to give to their teacher?
C = 2x – 4 (answer in dozens of cupcakes) C = 24x – 48 (in cupcakes)
Chocolate for candy making costs $3 per pound. If I have a $10 gift certificate to use at the store and buy x pounds, how much will it cost?
C = 3x - 10
A school is putting on a play and sells kid's tickets for $5 and adult tickets for $6. If they sell 40 adult tickets and x tickets to students, how much will they make?
P = 5x + (40)(6)
A hybrid car can go 40 miles per gallon plus 120 miles on its electric batteries. How far can it go on g gallons of gas?
D = 120 + 40g
In 1960, the average lifespan for a woman was 73 years. Since then, the average lifespan has increased .2 years. What was the average lifespan x years later?
A = 73 + .2x
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. Next level: In how many days will the water level be 26 feet?
L = 34 + .5d 16 days
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
C = 3 + 5h
A plumber charges $25 for a service call plus $50 per hour of service. Bonus: How many hours did she work if she charged $175?
C = 25 + 50x She worked 3 hours.
A caterer charges $100 plus $12 per person for a catered lunch. How much would she charge for a lunch for x people? How much would she charge for a lunch for 90 people?
C = 100 + 12x She would charge $1180.
Casey has a small business making dessert baskets. She estimates that her fixed weekly costs for rent and electricity are $200. The ingredients for one dessert basket cost $2.50. If Casey made x baskets this past week, what were her total weekly costs? Next level: Her total costs for the week before were $562.50. How many dessert baskets did she make the week before?
C = 200 + 2.50x She made 145 baskets.