standard_description: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
problem_activity: Suppose Brett and Andre each throw a baseball into the air. The height of Brett's baseball is given by
$${h(t)=-16t^2+79t+6}$$
where
$$h$$
is in feet and
$$t$$
is in seconds. The height of Andre's baseball is given by the graph below.
[IMG]
Brett claims that his baseball went higher than Andre’s, and Andre says that his baseball went higher.
Who is right?
How long is each baseball airborne?
Construct a graph of the height of Brett’s throw as a function of time on the same set of axes as the graph of Andre’s throw, and explain how this can confirm your claims to parts (a) and (b).


aligns: no