1. A bottle rocket starts at a height of 8 feet above the ground before it launches. It reaches it's maximum height of 80 feet 3 seconds after launch and begins to fall down. Write a quadratic function to model the height (h) of the rocket given the time (t) since launch.
A. h(t)=-8(t-3)^2+80
B. h(t)=8(t+3)^2-80
C. h(t)=8(t-3)^2-80
D. h(t)=-8(t+3)^2+80
2. A company has a model for their profit (p) given they produce x gizmos. They have lost the model, but someone remembers the model said they would make no profit if they produced 3 or 9 thousand gizmos. Another person remembered that the model said they would maximize their profit if they made 6 thousand gizmos, and that it would be 63 thousand dollars of profit. Using this information, write a quadratic function that can mimic their original model. Where p is the profit in thousands of dollars and x is the number of gizmos produced in the thousands.
A. p(x)=−7(x+3)(x+9)
B. p(x)=−7(x−3)(x−9)
C. p(x)=7/15(x+3)(x+9)
D. p(x)=−7(x+6)^2+63
3. Calculate the Average Rate of Change of the function represented in the table below for the interval x=−1 to x=2 .
A. -1
B. 3
C. 1
D. -3
4. Below is the graph of a system of equations. Determine the solution(s) to that system of equations.
A. (−1,−2) and (4, 3)
B. (−1,−2) and (4, 3)
C. (−2,0), (1, 0) and (3, 0)
D. (0,−1) and (0,−3)
Without the table or graph, I'm unable to answer the 3rd and 4th questions. However, I can answer the first two questions.
1. The correct answer is A. h(t)=-8(t-3)^2+80
2. The correct answer is D. p(x)=−7(x+6)^2+63