Time + functions - practice problems
Number of problems found: 1108
- Human population
The populations of two cities after t years can be modeled by -150t+50,000 and 50t+75,000. What is the difference in the populations of the towns when t=4? - The midday
The midday temperature in Pensacola Beach was 84°F. For the next five hours, it changed to –2°F per hour. The expression 84 − |−2 ⋅ 5| represents the current temperature. What is the current temperature in degrees Fahrenheit? - A population
A population of fish starts at 8,000 and decreases by 6% per year. Use an exponential function to find the population of fish in 10 years. - The restaurant
The restaurant is 3/8 miles from the office. She makes the walk in 7 1/2 minutes. At the same rate, how long will it take her to walk the two miles from her home to her office?
- Horseback riding
The total cost to go horseback riding is x dollars per hour plus a $2 fee for renting a helmet. Which expressions represent the cost, in dollars, for 4 people to go horseback riding for 3 hours each? Select all that apply. Responses: A = 4(3x+2) B = 3(4x+ - Miniature train
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes? - Temperature drop 5
The temperature outside currently is 32 degrees, dropping at an average rate of 4 degrees per hour. If the temperature continues to drop at this rate throughout the evening, what will the temperature be in 9 hours? - Aling
Aling Rosa can sew 8 dresses in 12 days. How many dresses can she sew in 16 days? - The sum 43
The sum of Rs. 820 will be divided among Ali, Fakhar, and Zahid according to the ratio 3 : 4 : 5. How much does each receive?
- Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - Using 4
Using the law of cosines, find the measurement of leg b if the givens are B=20°, a=10, and c=15. - Value of the note
A 10-month promissory note issued on March 21, 2021, bearing interest of 7.2% p.a., has a maturity value of $4128.02. Find the face value of the note. - The ratio 17
The ratio of tomatoes to red apples is 2:5. If there are 20 tomatoes, how many red apples are there? - It takes 2
It takes 7 1/5 seconds for a jet to fly 1 km. How long does it take for this jet to fly 3/4 of a km?
- Hotel rooms 2
Waterside bed and breakfast has 10 rooms. On average, they sell 8 rooms. The rate is $45 per night, bed and breakfast, $65 per night. Calculate the yield. - Eggs in basket
If the eggs in a basket are removed twice at a time, one will remain. Two eggs will remain if the eggs are removed three at a time. If the eggs are removed four, five, or six at a time, the three, four, and five eggs will remain, respectively. However, no - Compound interest
Joel borrowed $3208.5 on November 2, 2021, at 3.6% p.a. How many days would it take for him to repay the loan if he made a payment of $ 3,720.34? Round up to the nearest day. - Temperature dropping
If the temperature drops 2 degrees for 6 hours and the starting temperature is 10 degrees, what will the new temperature be? - The sum 41
The sum of 640.00 was deposited in the first bank for five years, and the interest given was 160.00. Find the rate.
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