Line + functions - practice problems
Number of problems found: 216
- 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? - A teacher 3
A teacher gives pens and pencils to elementary students at an equal rate, each classroom. Pencils; Pens 18 ; 72 29 ; A 35 ; 140 B ; 168 Determine the missing value for the letter B. - Proportional relationship 3
Which table below shows a proportional relationship? A. x ; y 3; 12 4; 16 5; 20 6; 24 7; 28 B. x ; y 3; 15 4; 20 5; 25 6; 35 7; 40 C. x ; y 3; 24 4; 32 5; 45 6; 48 7; 56 D. x ; y 3 ; 21 4; 24 5; 35 6; 42 7; 49 - Line equation:
Line equation: y-3=8/9(x-5) Solve for slope - Y-intercept 2
What is the y-intercept of 4x + 8y =16? Write coordinates of x0, y0 of that y-intercept. - Slope of the line
What is the slope of the line passing through two points (-3,5) and (2, -1) - A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation. - Line slope
What is the slope of the line with points (-1,-3) and (-5, 2)? - 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 - A 100-inch
A 100-inch stick is to be divided into four using the ratio 2: 5: 7: 11. How long is the longest piece? - 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? - The linear
The linear equation 5y-3x-4=0 Can be written in the form y=mx+c. Find the values of m and c. - 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 - 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 - Slope of line
What is the slope of the line that passes through the points: (-2, 4) and (-3, 1)? - Acceleration 83304
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th - Coordinates 83025
Given are points A [1;a2;a3], B [3;-4;-1], C [-3;-1;8]. Points A, B, and C lie in a straight line. Calculate the coordinates a2, a3 - Determine 83003
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common.
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