Unit 9, Lesson 5
Understanding Decay
Integrated Math 1
Practice
Problem 1
A new bicycle sells for \$300. It is on sale for \(\frac{1}{4}\) off the regular price. Select all the expressions that represent the sale price of the bicycle in dollars.
\(300 \boldcdot \frac{1}{4}\)
\(300 \boldcdot \frac{3}{4}\)
\(300 \boldcdot \left(1 - \frac{1}{4}\right)\)
\(300 - \frac{1}{4}\)
\(300 - \frac{1}{4} \boldcdot 300\)
Problem 2
A computer costs \$800. It loses \(\frac{1}{4}\) of its value every year after it is purchased.
- Complete the table to show the value of the computer at the listed times.
- Write an equation representing the value, \(v\), of the computer, \(t\) years after it is purchased.
- Use your equation to find \(v\) when \(t\) is 5. What does this value of \(v\) mean?
| time (years) |
value of computer (dollars) |
|---|---|
| 0 | |
| 1 | |
| 2 | |
| 3 | |
| \(t\) |