1. Rocket Scientists determined that t seconds after launch, a rocket's height, h, in feet above the ground will be given by the equation h = 16(2+t)(22-t) a. Describe the structure of the expression on the right side of the equal sign b. Reason about the structure to determine which values for t will make the expression have a value of 0. c. Why would the rocket Scientistswant to know when the expression has a value of 0 2. The rocket scientists determine that another equationfor the heightof the rocket is: h=2304-16(t-10)^2 a. Describe the structure of the expression on the right side of the equal sign b. Reason about the structure of 2304-16(t-10)^2 to determine the largest value it can have and to determine the value of t at which this occurs: To help your thinking: Why can 16(t-10)^2 never be negative? How can you use the structure of 16(t-10)^2 to determine for which value of t is 0 c. Why would the rocket scientists want to know the largest value of the expression
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
1. Rocket Scientists determined that t seconds after launch, a rocket's height, h, in feet above the ground will be given by the equation
h = 16(2+t)(22-t)
a. Describe the structure of the expression on the right side of the equal sign
b. Reason about the structure to determine which values for t will make the expression have a value of 0.
c. Why would the rocket Scientistswant to know when the expression has a value of 0
2. The rocket scientists determine that another equationfor the heightof the rocket is:
h=2304-16(t-10)^2
a. Describe the structure of the expression on the right side of the equal sign
b. Reason about the structure of 2304-16(t-10)^2 to determine the largest value it can have and to determine the value of t at which this occurs:
To help your thinking:
Why can 16(t-10)^2 never be negative?
How can you use the structure of 16(t-10)^2 to determine for which value of t is 0
c. Why would the rocket scientists want to know the largest value of the expression
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