Line + time - practice problems
Number of problems found: 67
- 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 cities when t=4? - The midday
The midday temperature in Pensacola Beach was 84°F. The temperature then changed –2°F per hour for the next 5 hours. The expression 84 − |−2 ⋅ 5| represents the current temperature. What is the current temperature in degrees Fahrenheit? - Temperature - linear function
In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature wa - The temperature 41
The temperature drops by 5 degrees per Hour in Alaska. It is 4 degrees at 6 PM. What will the temperature be at 9 PM? - The temperature 39
The temperature outside is currently 10 degrees, dropping at an average rate of 2 degrees per hour. If the temperature continues to drop at this rate, what will the temperature be in 7 hours? - A gym
The A gym offers two packages for yearly memberships. The first plan costs $50 to be a member. Then, when you visit the gum, it is $5 to get in. The second plan costs $200, but it only costs $2 to get in each time you visit. How many visits would it take - At noon 3
At noon, the temperature was 45˚ F. For the next ten hours, the temperature fell at a steady rate. The graph represents the temperature every hour since noon. At 5:00 temperature was 20°F. At what rate did the temperature fall? - The temperature 38
The temperature has been dropping 2 degrees every hour, and the temperature at 10:00 AM was -15 degrees Fahrenheit. At what time was the temperature 0 degrees Fahrenheit? - Passenger 18
Passenger and freight trains are operated between stations I and II, where the distance between stations is 16 km. The speed of the passenger trains is 100km/h, and the speed of the freight trains is 60km/h for a single-line railway track. The waiting tim - Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - The tangent of the hyperbola
Write the equation of the tangent of the hyperbola 9x²−4y²=36 at the point T =[t1,4]. - Simultaneously 82583
The crane lifts the load in a uniform, straight line to a height of 8 m and simultaneously moves in a horizontal direction to a distance of 6 m. What path did the load cover? What was the resulting velocity of the load if it took 50 seconds to move it - Perpendicular 82473
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - X-coordinate 81737
In triangle ABC, determine the coordinates of point B if you know that points A and B lie on the line 3x-y-5=0, points A and C lie on line 2x+3y+4=0, point C lies on the x-coordinate axis, and the angle at vertex C is right. - Straight 80603
How many hours does it take for the minute hand to travel a straight line and a right angle? - Destination 80553
The train traveled along the high-speed line at an average speed of 180 km/h. He left the starting station at 6:00 a.m. and arrived at the destination at 8:40 a.m. But halfway through the journey, he stopped at the station, where he stood for 10 minutes. - Hypotenuse 78844
Construct triangle KLM if side m=6.5cm, hypotenuse tm=4cm, height to side m: vm=3.2cm - Estimate linear fx
Which of the following is the best estimate for the temperature at 11 PM if the temperature continues to drop at the same rate? time; temperature °C 3 PM; 32 6 PM; 30 12 PM; 20 - Water 63
Boiler heated water at the rate of 6°c per minute for 14 minutes. It then cooled at the rate of 8°c per minute. What would be its temperature after 24 minutes if its original temperature was 40°c? - Perpendicular 73574
The two lines of the triangle are perpendicular to each other and are 27 cm and 36 cm. Calculate the length of the sides of the triangle and the length of the third line.
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