[img]data:image/png;base64,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[/img]
[size=150]Here is one way to think about how much Diego has left after spending [math]\frac{1}{4}[/math] of $100. Explain each step.[/size][br][br][size=100]Step 1: [/size][math]100-\frac{1}{4}\cdot100[/math]
Step 2: [math]100\left(1-\frac{1}{4}\right)[/math]
Step 3: [math]100\cdot\frac{3}{\text{4}}[/math]
Step 4: [math]\frac{3}{4}\cdot100[/math]
A person makes $1,800 per month, but [math]\frac{1}{3}[/math] of that amount goes to her rent. What two numbers can you multiply to find out how much she has after paying her rent?[br]
Write an expression that only uses multiplication and that is equivalent to [math]x[/math] reduced by [math]\frac{1}{8}[/math] of [math]x[/math].[br]
[size=150]Every year after a new car is purchased, it loses [math]\frac{1}{3}[/math] of its value. Let’s say that a new car costs $18,000.[br][/size][br][size=100]A buyer worries that the car will be worth nothing in three years. Do you agree? Explain your reasoning.[/size]
Write an expression to show how to find the value of the car for each year listed in the table.
Write an equation relating the value of the car in dollars, [math]v[/math], to the number of years, [math]t[/math].[br]
Use your equation to find [math]v[/math] when [math]t[/math] is 0. What does this value of [math]v[/math] mean in this situation?[br]
A different car loses value at a different rate. The value of this different car in dollars, [math]d[/math], after [math]t[/math] years can be represented by the equation [math]d=10,000\cdot\left(\frac{4}{5}\right)^t[/math]. Explain what the numbers 10,000 and [math]\frac{4}{5}[/math] mean in this situation.[br]
[size=150]Then, repeat this process with each of the remaining pieces. Repeat this process over and over for the remaining pieces. The figure shows the first two steps of this construction.[/size][br][img]data:image/png;base64,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[/img][br]What fraction of the area is removed each time?
How much area is removed after the [math]n[/math]-th step? Use a calculator to find out how much area [i]remains[/i] in the triangle after 50 such steps have been taken.