Word Problems
A local television station sells time slots for programs in 30-minute intervals. If the station operates 24 hours per day, every day of the week, what is the total number of 30-minute time slots the station can sell for Tuesday and Wednesday?
What is 96 time slots.
Convert the following to a percentage:
0.36
What is 36%.
(k+1)(k-5)=0
What is...
k= -1
k= 5
What is the slope of the equation y=1/4x+2?
What is 1/4.
A book was on sale for 40% off its original price. If the sale price of the book was $18.00, what was the original price of the book? (Assume there is no sales tax.)
What is $30.00.
Aditi is a marine biologist studying the mating patterns of whales. According to her research, schools of beluga whales produce 25% more offspring than what schools of orca whales produce. Based on this research, if a school of beluga whales has 30 offspring, how many offspring would Aditi predict a school of orca whales of the same size would produce?
What is 24 orca whales.
What is 12% of 50?
What is 6.
(4k+5)(k+1)=0
What is...
k= -5/4
k= -1
Write the equation of the line through (2,0) and (-4,-3).
What is y= 1/2x-1.
Jessica opened a bank account that earns 2 percent interest compounded annually. Her initial deposit was $100, and she uses the expression $100(x)t to find the value of the account after t years.
What is the value of x in the expression?
What is x=1.02.
The posted weight limit for a covered wooden bridge in Pennsylvania is 6000 pounds. A delivery truck that is carrying x identical boxes each weighing 14 pounds will pass over the bridge. If the combined weight of the empty delivery truck and its driver is 4500 pounds, what is the maximum possible value for x that will keep the combined weight of the truck, driver, and boxes below the bridge’s posted weight limit?
What is 107 pounds.
16 is what percent of 80?
What is 20%.
x2-11x+19=-5
What is...
x=8
x=3
Solve the system of equations...
4x+3y=-5
-2x+2y=6
What is (-2,1).
A customer paid $53.00 for a jacket after a 6 percent sales tax was added. What was the price of the jacket before the sales tax was added?
What is $50.00.
Katarina is a botanist studying the production of pears by two types of pear trees. She noticed that Type A trees produced 20 percent more pears than Type B trees did. Based on Katarina’s observation, if the Type A trees produced 144 pears, how many pears did the Type B trees produce?
What is 120 pears.
What is 60 increased by 14%?
What is 68.4.
6n2-18n-18=6
What is...
n= 4
n= -1
The cost of 6 sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47. How much does one sandwich cost?
What is $6.50.
Keith modeled the growth over several hundred years of a tree population by estimating the number of the trees’ pollen grains per square centimeter that were deposited each year within layers of a lake’s sediment. He estimated there were 310 pollen grains per square centimeter the first year the grains were deposited, with a 1% annual increase in the number of grains per square centimeter thereafter. Which of the following functions models P(t), the number of pollen grains per square centimeter t years after the first year the grains were deposited?
What is P(t)=310(1.01)t.
Alma bought a laptop computer at a store that gave a 20 percent discount off its original price. The total amount she paid to the cashier was p dollars, including an 8 percent sales tax on the discounted price. Which of the following represents the original price of the computer in terms of p?
What is p/(0.8)(1.08).
If there are 5,280 feet in a mile, and a car is driving at 9,500 feet per minute, approximately what is the speed in miles per hour?
What is 107.95 miles/hour.
35k2-22k+7=4
What is...
k= 1/5
k= 3/7
Solve the system of equations...
5x=15+10y
3x+7y=31
What is (83/13, 22/13).
The world’s population has grown at an average rate of 1.9 percent per year since 1945. There were approximately 4 billion people in the world in 1975. Which of the following functions represents the world’s population P, in billions of people, t years since 1975 ? (1 billion = 1,000,000,000)
What is P(t)=4(1.019)t.