A employer, who started a new business, has promised his employees a minimum starting wage of $3, with an increase of $2 every 4
years. Sketch a graph of wage as a function of time for 16 years. Assume the wages take effect at the beginning of the year where the change is made. (HINT: use a step function to represent the function.)
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Solving the quadratic equation we conclude that:
- The maximum height is 45ft.
- The rocket is 18 seconds in the air.
<h3>How to get the maximum height of the rocket?</h3>
The height of the rocket is defined by the quadratic equation:
The maximum height is what we get in the vertex of the quadratic equation, such that for this quadratic equation, the vertex is at:
So the maximum height is what we get when we evaluate in t = 9:
The maximum height is 45ft.
<h3>How to get the time in the air?</h3>Now we need to solve the equation for the largest value of t:
Rewriting it, we get:
The maximum solution is what we get when:
0 = 90 - t*5
t = 90/5 = 18
The rocket is 18 seconds in the air.
If you want to learn more about quadratic equations:
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