Unit Activity: Manipulating and Interpreting Expressions Describing the Benefits of Mathematical Modeling
This activity will help you meet these educational goals:
You will state the benefits of modeling real-world phenomena.
In the previous tasks, you used the structure of expressions to accomplish different tasks:
• In Task 1, you used the structure of a formula for interest to create two different models for calculating interest.
• In Task 2, you rearranged an equation that modeled the flight of a paper ball through the air to reveal important
information.
Think about those two situations as you answer the following questions.
Part A
In the interest task, how did the structure of the formula help you calculate how interest would accrue over four years?
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the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

step-by-step explanation:

abc

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1