Question

3.1.6How else can I relate the quantities?
Investigating Ratios

In mathematics, a ratio is used to express certain relationships between two or more quantities. You were working with ratios when you expressed portions as percents and fractions. You also used ratios when you compared the portion of raisins or peanuts to the whole mix in the trail-mix problem. Today you will extend what you know about fractions to investigate more general ratios. You will learn how they can be used to compare the trail-mix ingredients and much more. As you work with your team, keep the following questions in mind.

How do the quantities compare?

What quantities am I comparing?

How can I represent the relationship?

Can I represent it in another way?

3-78.
Quinn just had a large pond dug on his farm and wants to stock the pond with fish. He was researching the best way to go about this when he saw the following posting on the PondPerson blog:

“The biggest factor to keep in mind is the predator-prey ratio: Stock the pond with predator fish for every prey fish. Predator fish are large-mouth bass or walleye, while prey fish are perch, bluegill, or sunfish.”



Quinn chose walleye for the predator species and bluegills for the prey fish. He knows he will need a little over fish total to fill a pond the size of his. With your team, discuss what you think the predator-to-prey ratio in this situation means. Then estimate how many of each fish (walleyes and bluegills) Quinn should buy to stock the pond while keeping the ratio of predators to prey correct. Be prepared to share your ideas with the class.

3-79.
ON THE TRAIL AGAIN

Rowena and Polly are investigating their trail-mix problem again. Rowena took a handful of her mixture and counted her raisins and peanuts. She found she had peanuts and raisins in her sample. Rowena drew the following diagram to represent her sample.

The diagram shows 2 rows of 16 raisins and 1 row of 8 peanuts.

You can use a ratio to compare the number of peanuts or raisins in this sample to the total. If you find what percent of the sample is made up of raisins (or peanuts), you are writing a special kind of ratio. It describes how many raisins or peanuts would be present if the whole sample contained raisins and peanuts combined. In fact, you can use a ratio to express the relationship between any two quantities in the mix.

For the sample shown above, identify what each of the following ratios are comparing. For examp

Answer 1

Jeez

Answer 2

that's a lot

Answer 3

Ikr

Answer 4

Dang mom,a settle down

Answer 5

;-;

Answer 6

What

Answer 7

Nun

Answer 8

Nice profile pic

Answer 9

ty ty