NumericResponse
Entertheappropriatevaluetoanswerthequestionorsolvetheproblem.
1.On his fruit stand, Mr. Roberts has 13 papayas, 23 star fruits, 35 mangos, and 19 strawberries. What is the ratio of the number of mangos to the total number of pieces of fruit?
2.Maggie’sgrandmotheruses16limestomake2keylimepies.Atthisrate,howmanylimesdoessheneedto
make 6 key limepies?
3.Ms. Sims traveled to 42 countries in 60 days. At this rate, how many countries would she travel to in 40 days?
4.Suppose 40 out of 90 people are bowlers and 3 out of every 16 of the bowlers have their own bowling ball. At the same rates, in a group of 192 people, predict how many you would expect to have a bowling ball.
5.A particular amusement park ride will make 156 revolutions in 180 seconds. At this rate, how many revolutions will it make in 2minutes?
6.The costume designer for the school play uses 4 feet of fabric to make 8 costumes. At the same rate, how many costumes can the designer make with 4 yards offabric?
Solve each problem. Write in simplest form.
7.Acoolercontainscups of fruit juice. How many pints of fruit juice does the cooler contain?
8.Sophia downloaded 592 vacation pictures. Of the pictures, 63% show the beach. About how many pictures show the beach? Use a rate per 100 to estimate.
Find the percent of each number.
9. 92% of85
Subjective ShortAnswer
10.In a certain area, there are 35 houses to 55 businesses. Write the ratio of houses to businesses as a fraction in simplest form. Then explain its meaning.
11.The table shows results of a survey about the types of video games students own. Find the ratio of the number of video games rated Everyone 10+ to the total number of video games.
Write each ratio as a unit rate.
12.162 heartbeats in 60 seconds
13.216 diving students to 12 instructors
14.630 meters in 18seconds
15.After working for 25 hours, Lamar made $375. After working for 40 hours, Lamar made $600. Predict how much he would make after 10 hours ofwork.
16.Determine if the rates $168 raised for washing 24 cars and $280 raised for washing 40 cars are equivalent. Explain yourreasoning.
17.Nina can type 45 words per minute. Write the ordered pairs (number of minutes, number of words) Nina can type for 0, 1, 2, and 3minutes.
18.Jana has $5. She wants to buy a notebook for $4.50. The sales tax is 7%. Does she have enough money? Explain yourreasoning.
Essay
Demonstrate your knowledge by giving a clear, concise solution to each problem. Be sure to include all relevant drawings and justify your answers. You may show your solution in more than one way or investigate beyond the requirements of the problem. If necessary, record your answer on another piece ofpaper.
19.a. Tell in your own words the meaning of ratio.
b.Give an example of a ratio. Write the ratio in four ways.
c.Tell in your own words the meanings of rate and unit rate. Give an example of a unit rate and an example of a rate that is not a unitrate.
d.Tell in your own words the meaning of equivalent ratios.
e.Write a word problem that you can solve by using equivalent ratios.
f.Solve the word problem in part e . Explain eachstep.
20.FINANCIAL LITERACY The U.S. dollar can be exchanged for other types of currency in the world. The exchange rate is always changing. Suppose1 euro is equivalent to $2.
a.Describe what is meant by the numbers in the first column of the table.
b.How much will 2 euros cost in U.S. dollars? 5 euros? 10 euros?
c.How many euros is equivalent to $30? Tell how you found your answer.
d.List the information in the table as ordered pairs (euro, U.S. dollar).
AnswerKey
1.
7
18
2.48
3.28
4.16
5.104
6.24
7.
3
6
4
8.378
9.78.2
10.; Forevery 7 houses,thereare11businesses. 11.
12.
13.
14.
15.$150
16. Yes; the unit rates arethesame,17. (0, 0), (1, 45), (2, 90), (3,135)
18.yes; Her total cost is$4.82.
19.a. A ratio is the comparison of two numbers by division.
b. 3 out of 4, 3:4, 3 to 4,
c.A rate is a ratio that compares two different units of measure. A unit rate is a rate that is in the per unit form. A unit rate is written with a denominator of 1. An example of a unit rate is 50 miles in 1 hour or 50 miles per hour. An example of rate that is not a unit rate is 50 miles in 2 hours.
d.Equivalent ratios express the same relationship between two quantities.
e.Sampleanswer:IftwooutoffivestudentsinMrs.Junkin’sclasshaveadog,predicthowmanyofthe200
students in the school have adog.
f.
So, about 80 students out of the 200 students can be expected to have adog.
20.a. Sample answer: The exchange rate is such that 1 euro will cost$2.00.
b. $4.00; $10.00; $20.00
c. 15; Sample answer: Divide 30 by 2.
d. (1, 2), (2, 4), (5, 10), (10,20)