If trend for the depreciation of the press continued, what would be its value in the year 2015? Show how you obtained your answer using the linear equation you found in part c).
Answer:
Show or explain your work here:
e) If the trend continued, in how many years would the value of the printing press be $24,000? Show how you obtained your answer using the linear equation you found in part c).
Answer:
Explain your work here:
2) Suppose that the length of a rectangle is three cm longer than twice the width and that the perimeter of the rectangle is 90 cm.
a) Set up an equation for the perimeter involving only W, the width of the rectangle.
Answer:
b) Solve this linear equation algebraically to find the width of the rectangle. Find the length as well.
Answer: Length ______, Width ______
Show your work here:
c) Using the same length as your answer in part b), find a new perimeter if the new width is 5 less than one-half of the length.
Answer:
Explain your work here in one or two sentences: same what is the answer and how did you get it.
I did not find any linear equation in Part C, whatever that is, but you should have.
To answer these questions, we will need to solve the given problems step by step. Let's start with the first question:
1) If the trend for the depreciation of the press continued, what would be its value in the year 2015? Show how you obtained your answer using the linear equation you found in part c).
To find the value of the press in the year 2015, we need to use the linear equation that represents the depreciation trend. Since you mentioned part c), let's assume you previously found the linear equation. Let's call the year as 'x' and the value of the press in that year as 'y'. The equation can be written as:
y = mx + b
Here, 'm' represents the depreciation rate per year, and 'b' represents the initial value of the press.
To get the value of 'm' and 'b', you need more information that was not provided in the question. Once you have the equation, you can substitute 'x' with 2015 and solve for 'y' to find the value of the press in that year.
Now let's move on to the second question:
e) If the trend continued, in how many years would the value of the printing press be $24,000? Show how you obtained your answer using the linear equation you found in part c).
Similar to the previous question, you need to use the linear equation you found in part c). Let's substitute 'y' with $24,000 and solve for 'x' to find the number of years it takes for the press to reach that value.
Now, let's move on to the next set of questions related to rectangles:
2) Suppose that the length of a rectangle is three cm longer than twice the width, and the perimeter of the rectangle is 90 cm.
a) Set up an equation for the perimeter involving only W, the width of the rectangle.
The perimeter of a rectangle can be calculated as twice the sum of its length and width:
Perimeter = 2 * (Length + Width)
Given that the length is three cm longer than twice the width, we can write:
Length = 2W + 3
Substituting this into the perimeter equation will give us an equation involving only 'W'.
b) Solve this linear equation algebraically to find the width of the rectangle. Find the length as well.
To solve the equation algebraically, we substitute the value of 'Length' from above into the equation of the perimeter. Then, solve the resulting equation for 'W'. Once you find the value of 'W', substitute it back into the equation for 'Length' to find its value as well.
c) Using the same length as your answer in part b), find a new perimeter if the new width is 5 less than one-half of the length.
Once you have the value of 'Length' from part b), you can substitute it into the perimeter equation and modify the width as mentioned (5 less than one-half of the length) to find the new perimeter.
I hope this explanation helps you understand how to approach these problems and find the solutions.