Understanding Proportions and Ratios
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Questions and Answers

Is the relationship between Melanie's hours worked and her money earned proportional?

  • Yes, because the earnings double every few hours.
  • No, because the earnings are fixed regardless of hours.
  • Yes, because the ratios of money earned to hours worked are equal. (correct)
  • No, because it does not follow a linear pattern.

What would Melanie earn if she worked for 5 hours?

  • $100
  • $40
  • $80 (correct)
  • $64

Is the relationship between the number of movie rentals and the cost proportional?

  • No, because the cost is random and varies.
  • Yes, because all costs are fixed regardless of rentals.
  • Yes, because the cost increases consistently with more rentals. (correct)
  • No, because the costs scale differently for larger rentals.

What is the cost per movie rental based on the given table?

<p>$2.50 (B)</p> Signup and view all the answers

How many times will a hummingbird beat its wings in 30 seconds?

<p>4,000 beats (B)</p> Signup and view all the answers

What is the total savings for Cam when he saves for 6 weeks?

<p>$180 (B)</p> Signup and view all the answers

Which statement correctly describes the ratios of x/y from the savings table?

<p>All ratios are equivalent to 2. (D)</p> Signup and view all the answers

What is the value of y when x is 40 in the savings relationship?

<p>$80 (C)</p> Signup and view all the answers

If each side of an equilateral triangle is 4 inches, what is its perimeter?

<p>12 inches (A)</p> Signup and view all the answers

Determine the value of x when y is 32 in the proportional relationship based on the given values.

<p>8 (A)</p> Signup and view all the answers

What is the cost per pound of potatoes if 11 pounds cost $14.96?

<p>$1.36 (D)</p> Signup and view all the answers

How many words can Kennedy type in one minute if she types 24 words in $ rac{3}{5}$ of a minute?

<p>40 (D)</p> Signup and view all the answers

What is the cost per bag if James purchased 6 bags of Doritos for $21.30?

<p>$4.05 (C)</p> Signup and view all the answers

How long will it take Paul to run one mile if he runs $ rac{1}{2}$ mile in 3.2 minutes?

<p>6.4 (C)</p> Signup and view all the answers

How much sugar is needed to make 36 cookies if 1 $ rac{1}{2}$ cups are required for 24 cookies?

<p>2.5 (B)</p> Signup and view all the answers

Flashcards

Proportional Relationship

A relationship between two variables where their ratios are constant.

Melanie's Earnings

Melanie's earnings are proportional to the hours she works at Target.

Cost per Movie Rental

The constant cost associated with each movie rental.

Hummingbird Wing Beats

The relationship between time and wing beats for hummingbirds is proportional.

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60 seconds wing beats(Hummingbird)

4,000 wing beats in 60 seconds.

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Proportional relationship (Problem 6)

A relationship where the ratio between two variables is constant.

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Proportional relationship (Problem 8)

In an equilateral triangle, the perimeter is always three times the side length.

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Proportional Equation (Problem 9)

If x and y are proportional, you can find the value of x when y is known by using a constant rate.

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Identifying Proportional Relationships (Problem 7)

To determine if a relationship is proportional, check if all ratios (x/y) are equal.

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Proportional Constant (Problem 9)

The constant ratio (k) between two proportional variables. When x * k = y, solve for k.

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Cost per pound of potatoes

The price of one pound of potatoes

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Unit Rate (typing)

Words typed per minute.

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Cost per bag of Doritos

The price of one bag of Doritos.

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Time to run a mile

Total time to run one mile.

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Sugar needed for cookies

Amount of sugar required for making cookies proportionally.

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