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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.

[size=150]A new bicycle sells for $300. It is on sale for [math]\frac{1}{4}[/math] off the regular price. [/size][br]Select [b]all[/b] the expressions that represent the sale price of the bicycle in dollars.

Write an equation representing the value, [math]v[/math], of the computer, [math]t[/math] years after it is purchased.[br]

Use your equation to find [math]v[/math] when [math]t[/math] is 5. What does this value of [math]v[/math] mean?[br]

[size=150]A piece of paper is folded into thirds multiple times. The area, [math]A[/math], of the piece of paper in square inches, after [math]n[/math] folds, is [math]A=90\cdot\left(\frac{1}{3}\right)^n[/math].[/size][br][br][size=100]What is the value of [math]A[/math] when [math]n=0[/math]? What does this mean in the situation?[br][/size]

How many folds are needed before the area is less than 1 square inch?

[size=150][size=100]The area of another piece of paper in square inches, after [math]n[/math] folds, is given by [math]B=100\cdot\left(\frac{1}{2}\right)^n[/math]. [/size][/size]What do the numbers 100 and [math]\frac{1}{2}[/math] mean in this situation?[br]

The colony decreases by [math]\frac{1}{5}[/math] during April. Write an expression for the ant population at the end of April.

During May, the colony decreases again by [math]\frac{1}{5}[/math] of its size. Write an expression for the ant population at the end of May.

The colony continues to decrease by [math]\frac{1}{5}[/math] of its size each month. Write an expression for the ant population after 6 months.

[size=150]Lin has 13 mystery novels. Each month, she gets 2 more. Select [b]all[/b] expressions that represent the total number of Lin's mystery novels after 3 months.[/size]

What do you notice about the differences of the odometer readings each hour?[br]

If the odometer reads [math]n[/math] miles at a particular hour, what will it read one hour later?

Write a system of equations that represents the constraints in this situation. Be sure to specify the variables that you use.[br]

How many 16 oz jars and how many 28 oz jars of peanut butter were donated to the food bank? Explain or show how you know.[br]

[size=150]A function multiplies its input by [math]\frac{3}{4}[/math] then adds 7 to get its output. [/size][br][br][size=100]Use function notation to represent this function.[/size]

[size=150]A function is defined by the equation [math]f\left(x\right)=2x-5[/math].[br][/size][br][size=100]What is [math]f\left(0\right)[/math]?[/size]

What is [math]f\left(\frac{1}{2}\right)[/math]?

What is [math]f\left(100\right)[/math]?

What is [math]x[/math] when [math]f\left(x\right)=9[/math]?