Topic 3 Review

Topic 3 Review

Test Review

Vocabulary

Answer the best you can to each slide

Multiple Choice

For two quantities x and y, if y is always a constant multiplie of x they have a(n)

• `unit rate

• proportional relationship

• ratio

Multiple Choice

The value of the ratio

 $\frac{y}{x}$  of two proportional quantities x and y is called the

• unit rate

• constant of proportionality

• proportion.

Multiple Choice

An equation that shows that two ratios are equal is a(n)

• proportion

• unit rate

• ratio

Ratios, Rates and Unit Rates

• Ratio- is a relationship in which every x units of one quantity ther are y units of another quanitiy.

• A rate is a ratio that relates two quantities with different units.

• A unit rate relates a quanitity

3-1 and 3-2 Ratios, Rates and Unit Rates

In 3 days, a typical robin can eat up to 42.6 feet of earthworms. Write a rate to relate the number of feet of earthworm to the number of days. Then find the unit rate.

In 3 days, a typical robin can eat up to 42.6 feet of earthworms. Write a rate to relate the number of feet of earthworm to the number of days. Then find the unit rate.

 $\frac{42.6\ feet}{3\ days}$   $\div\frac{3}{3}$  = $\frac{14.2\ feet}{1\ day}$  

Multiple Select

How would you set #1 up?

• $\frac{ounces}{money}$

• $\frac{money}{ounces}$

 $\frac{money}{ounces}$  

• Adam:  $\frac{\text{}8.75}{3.5}$  

• Marco  $\frac{9.75}{3.75}$  

3-3 Understand Proportional Relationships: Equivalent Ratios

• Two quantities x and y have a proportional relationship if the ratios y/x  for every related pair of x and y are equivalent.

Does the table at the left show a proportional relationship between x and y?

Yes, because all the unit rates are 3 to 1.

3-4 Constant of Proportionality

• y = kx describes a proortional relationship between two quantities x and y.

•  $\frac{y}{x}=k$  

• k is the constant of proportionality

The table shows the wages Roger earned for the hours he worked . What equation relates the wates, w, and the number of hours, h.

Poll

What is the constant of proportionality in this problem.

• $\frac{1}{9}$

• 9

The table shows the wages Roger earned for the hours he worked . What equation relates the wates, w, and the number of hours, h.

 $\frac{y}{x}$  =  $\frac{wages}{time}$  

Multiple Choice

Sally is going on vacation with her family. In 2 hours they travel 90.5 miles. If they travel at the same speed, write an equation that represents how far they will travel, d, in h hours.

1st- how would you set this up

• $\frac{2\ hours}{90.5\ miles}$

• $\frac{90.5\ miles}{2\ hours}$

Multiple Choice

Sally is going on vaction with her family. In 2 hours they travel 90.5 miles. If they travel at the same speed, write and equation that represents how far they will travel, d, in h hours.

• miles = 45.25 x hours

• hours = 45.25 x miles

3-5 Graph Proporttional Relationships

In order for a graph to be proportional

• The line must be straight

• The line must go through the origin.

Multiple Choice

Is the number of sunny days proportional to the number of rainy days?

• yes

• no

3-6 Apply Proportional Reasoning to Solve Problems

• When in doubt find the unit rate to help you

• Use proportions to help find the answer

Multiple Select

Decide which problems can be solved using proportional reasoning.

• Yani buys 4 dozen flyers for $7.25. What is the cost of 12 dozen?

• First class letters ost $0.49 for the first ounce and $0.22 for each additional ounce. what is the cost of a 5-oz letter?