WorksheetsReal Life Quadratics
Total questions: 14
Worksheet time: 14mins
Which inequality matches the situation: A parking garage charges a $2.50 base fee plus an hourly rate of $4.00. If you have at most $12.50 to pay for parking, how long can you park?
2.50 + 4.00x < 12.50
2.50 - 4.00x > 12.50
2.50x + 4.00 < 12.50
2.50x - 4.00 < 12.50
Austin has $145 in his savings account. He earns $36 each week mowing lawns. If Austin saves all of his earnings, after how many weeks will he have $433 saved?
36x + 145 = 433
145x + 36 = 433
36x + 433 = 145
433x + 145 = 36
Jen wants to buy a new car for $18,500. She pays $2,500 at signing and wants to pay $250 per month. How many months until it is paid off?
18,500 + 2,500 = 250x
2,500 - 250x = 18,500
250x + 2,500 = 18,500
2,500 (250)x = 18,500
The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. What was the maximum height the rocket reached?
25 feet
45 feet
65 feet
85 feet
A ball is thrown into the air, and its height in meters after t seconds is given by h(t)=−5t2+20t+2 . At what time does the ball reach the maximum height? What is the maximum height reached by the ball?
22 meters
1.89 seconds
2 seconds
2 meters
18 meters
A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t2 + 20t. How many feet into the air will the ball be at 3 seconds?
The height in inches of a frog’s jump is modeled by the equation h(t)=60t−75t2 where the time, t, after it jumps it is measured in seconds.
Frog's maximum height
12 inches
Frog's initial height
0 inches
Frog's time to reach maximum height
0.4 seconds
Frog's landing time
0.8 seconds
At the Nets game, an employee shoots a t-shirt out of a cannon. The height of the shirt based on the number of seconds, , is given by the equation
h(x)=−4x2+24x+10
Part A: What is the starting height of the t-shirt?
24 feet
10 feet
-4 feet
3 feet
At the Nets game, an employee shoots a t-shirt out of a cannon. The height of the shirt based on the number of seconds, , is given by the equation
h(x)=−4x2+24x+10
Part B: After how many seconds does the t-shirt reach its greatest height? Solve algebraically.
3 seconds
46 seconds
5 seconds
10 seconds
At the Nets game, an employee shoots a t-shirt out of a cannon. The height of the shirt based on the number of seconds, , is given by the equation
h(x)=−4x2+24x+10
Part C: What is the t-shirt’s greatest height? Solve Algebraically
24 feet
9 feet
46 feet
34 feet
Prince is trying to throw a ball over a fence. The height of the ball, in feet based on the number of seconds, is represented by the equation:
f(t)=−3.5t2+14t+3
Part B: What is the maximum height the ball reached after Prince threw it?
14 feet
17 feet
19 feet
22 feet
Prince is trying to throw a ball over a fence. The height of the ball, in feet based on the number of seconds, is represented by the equation:
f(t)=−3.5t2+14t+3
Part C: How long will it take for the ball to hit the ground?
Between 1 and 2 seconds
Between 2 and 3 seconds
Between 3 and 4 seconds
Between 4 and 5 seconds
Prince is trying to throw a ball over a fence. The height of the ball, in feet based on the number of seconds, is represented by the equation:
f(t)=−3.5t2+14t+3
Part D: Prince is trying to throw the ball over a 19 foot high fence. Will his throw make it over?
Yes it will definitely clear 19 feet
No his arm is weak it won't make it over 19 feet
I'm not sure about this one, I've never seen Prince throw
At the Nets game, an employee shoots a t-shirt out of a cannon. The height of the shirt based on the number of seconds, , is given by the equation
h(x)=−4x2+24x+10
Part D: Approximately how many seconds does the t-shirt stay in the air? Use Calculator To Help
Between 4 and 5 seconds
Between 5 and 6 seconds
Between 6 and 7 seconds
Between 9 and 10 seconds
