Word Problem Worksheet
1. The height, h(t), in metres, of a toy rocket at any time, t, in seconds, during its flight can
be estimated using the formula h(t) = -5t2 + 23t + 10.
a) After how many seconds will the rocket land?
b) What is the initial height of the rocket?
c) What is the maximum height of the rocket?
2. The total revenue from sales of ski jackets is modeled by the function R(x) = 720 + 4x – 2x2.
Where R(x) is the revenue and x is the number of units sold.
a) What is the maximum revenue?
b) How many units must be sold to maximize revenue?
c) How many units must be sold to make a revenue of $10,000
3. The cost, in dollars, of operating a machine per day is given by the formula C(t) = 2t 2 –
84t + 1025, where t is the time in hours the machine operates. What is the minimum
cost of running the machine?
4. A ball is thrown upward and its height h(t) in metres, above the ground, after t seconds,
is modeled by the equation h(t) = – 4.9t2 + 8.4t + 1.5
a) After how many seconds will the ball hit the ground?
b) When does the ball reach a height of 3 m?
c) What is the maximum height of the ball?
d) When does the ball reach a maximum height?
5. Determine the equation in vertex form of the graphs shown below:
a)
b)