https://file.aiquickdraw.com/mathbot/file/1727371633539m9op2bzq.jpg

We are given the problem where Seth owns a start-up business, and the value of each share starts at $27. The changes in the share price over the week are provided, and we are asked to determine what value $x$ (Friday's change) must be so that the share price at the end of the week is the same as the beginning, which is $27.

The changes in share prices are provided in the table:
- Monday: $ +6.25 $
- Tuesday: $ -14.60 $
- Wednesday: $ +10.20 $
- Thursday: $ -3.55 $
- Friday: $ x $ (unknown)

### Steps to Solve:
1. The total change in the share price over the entire week must be zero because the price ends up being the same as it was at the beginning.

2. We can set up the equation for the total change over the week:
\[
6.25 + (-14.60) + 10.20 + (-3.55) + x = 0
\]

Let's simplify this:

\[
6.25 - 14.60 + 10.20 - 3.55 + x = 0
\]

Now, we'll sum the known changes:

\[
(6.25 - 14.60 + 10.20 - 3.55) = -1.70
\]

So the equation becomes:

\[
-1.70 + x = 0
\]

Solving for $x$:

\[
x = 1.70
\]

Thus, the value of $x$, or the change on Friday, must be **1.70** for the shares to end the week at the same price they started.

Would you like further details on any step, or do you have any questions?

Here are some related questions you might consider:
1. What would the share price be if the week ended with an increase in price instead?
2. How would the final price change if Friday’s change were negative instead of positive?
3. How can you set up similar problems for other financial scenarios?
4. What if the starting price was different, say $30, how would that affect the calculations?
5. Can you model how changes like this affect long-term investments?

**Tip:** When dealing with financial changes, always remember to balance gains and losses to track the overall outcome!

Seth is the owner of a start-up business. At the beginning of the week, the shares of his business were worth $27 per share. The table shows the change in the worth of each share each day of the week. What must x represent to have the share price end at the same value as it started?

Learn how to determine the change in share price to balance the total for the week. Using simple algebra, find out what x must be to return the share price to its initial value of $27. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation