Math Problem Statement

The table shows the change in the value of Rudo's stocks one day. The next day, the value of the All-Plus stock dropped 1/4 of the amount it changed from the previous day. What was the total change in the All-Plus stock? Round to the nearest cent.

Solution

The problem asks for the total change in the All-Plus stock over two days, given:

  1. On the first day, the change in value was $2.50-\$2.50.
  2. On the second day, the value dropped 14\frac{1}{4} of the change from the previous day.

Step-by-step solution:

  1. Calculate the second day's change: The second day's change is 14\frac{1}{4} of the first day's change: Second day’s change=14×($2.50)\text{Second day's change} = \frac{1}{4} \times (-\$2.50) Second day’s change=$0.625\text{Second day's change} = -\$0.625

  2. Find the total change over the two days: The total change is the sum of the changes on both days: Total change=($2.50)+($0.625)\text{Total change} = (-\$2.50) + (-\$0.625) Total change=$3.125\text{Total change} = -\$3.125

  3. Round to the nearest cent: The total change rounds to $3.13-\$3.13.

Final Answer:

The total change in the All-Plus stock is $3.13-\$3.13.


Would you like further clarification or details?

Related Questions:

  1. How is rounding decimals to the nearest cent performed?
  2. Why does multiplying a negative number by a positive fraction result in a smaller negative number?
  3. How would the solution change if the second day’s drop was 12\frac{1}{2} instead of 14\frac{1}{4}?
  4. What if the total change needed to be calculated for three days with similar conditions?
  5. How do stock values typically vary, and why are percentage or fraction changes common in financial contexts?

Tip:

When working with stock or financial changes, always double-check your signs (positive or negative), as they indicate gains or losses.

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Math Problem Analysis

Mathematical Concepts

Fractions
Arithmetic operations
Negative numbers
Rounding to nearest cent

Formulas

Fraction of a number: (fraction) × (value)
Sum of values: value1 + value2

Theorems

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Suitable Grade Level

Grades 6-8