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Write the rate of blue paint to yellow paint for each quart in simplest form.
The rates are not equal. So, the amount of yellow paint is not proportional to the amount of blue paint.
$16:(5
No; the rates are not equal.
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Write the rate of ice tea mix to sugar for each quart in simplest form.
Each rate is equal to . So, the amount of sugar is proportional to the amount of ice tea mix.
$16:(5
Yes; each rate is equal to .
GASOLINE The cost of 13 gallons of gasoline is $41.47. Write an equation relating cost to the number of gallons of
gasoline. How much does 18.5 gallons of gasoline cost?
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Find the constant of proportionality.
or 3.19
The cost is $3.19 times the number of gallons of gas, g. The equation is c = 3.19g.
To find the cost of 18.5 gallons of gas, substitute 18.5 for g.
18.5 gallons of gas cost $59.02.
$16:(5
c = 3.19g; $59.02
Determine whether the set of numbers in each table is proportional. Explain.
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Write the rates of cans of concentrate to cans of water in simplest form
Each rate is equal to . So, the amount of cans of water is proportional to the amount of cans of concentrate.
$16:(5
Yes; each rate is equal to .
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Write the rates of shaded squares to total squares in simplest form.
The rates are not equal. So, the number of total squares is not proportional to the number of shaded squares.
$16:(5
No; the rates are not equal.
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Write the rates of junk e-mails to total e-mails in simplest form.
Each rate is equal to . So, the number of total e-mails is proportional to the number of junk e-mails.
$16:(5
Yes; each rate is equal to
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Write the rates of weeks to days in simplest form.
Each rate is equal to . So, the number of days is proportional to the number of weeks.
$16:(5
Yes; each rate is equal to .
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Write the rates of the heat index to air temperature.
The rates are not equal. So, the air temperature is not proportional to the heat index.
$16:(5
No; the rates are not equal.
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Write the rates of jars to jelly beans in simplest form.
The rates are not equal. So, the number of jelly beans is not proportional to the number of jars.
$16:(5
No; the rates are not equal.
For Exercises 10 and 11, write and solve an equation.
FINANCIAL LITERACY A store is having a sale where all jeans are off the regular price. Write an equation
relating the sale price to the regular price. How much would a pair of $29 jeans cost on sale?
g
Cost
7g
6 7(6) = $42
7 7(7) = $49
8 7(8) = $56
9 7(9) = $63
10 7(10) = $70
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yes
Complete each conversion. Round to the nearest hundredth, if necessary.
LQ§B cm
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8VHLQ§FHQWLPHWHUV
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10.16
/§ B gal
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8VH/§JDO
$16:(5
1.32
OE§B kg
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8VHOE§NJ
$16:(5
681
\G§ _ m
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8VH\G§P
$16:(5
12.8
Express each rate as a unit rate. Round to the nearest tenth, if necessary.
140 miles on 6 gallons
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The unit rate is 23.3 miles per gallon.
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23.3 miles per gallon
19 yards in 2.5 minutes
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The unit rate is 7.6 yards in 1 minute.
$16:(5
7.6 yards per minute
236.7 miles in 4.5 days
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The unit rate is 52.6 miles per day.
$16:(5
52.6 miles per day
331.5 pages in 8.5 weeks
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The unit rate is 39 pages per week.
$16:(5
39 pages per week
eSolutions Manual - Powered by Cognero Page 1
6-4 Proportional and Nonproportional Relationships
Determine whether the set of numbers in each table is proportional. Explain.
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Write the rate of blue paint to yellow paint for each quart in simplest form.
The rates are not equal. So, the amount of yellow paint is not proportional to the amount of blue paint.
$16:(5
No; the rates are not equal.
62/87,21
Write the rate of ice tea mix to sugar for each quart in simplest form.
Each rate is equal to . So, the amount of sugar is proportional to the amount of ice tea mix.
$16:(5
Yes; each rate is equal to .
GASOLINE The cost of 13 gallons of gasoline is $41.47. Write an equation relating cost to the number of gallons of
gasoline. How much does 18.5 gallons of gasoline cost?
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Find the constant of proportionality.
or 3.19
The cost is $3.19 times the number of gallons of gas, g. The equation is c = 3.19g.
To find the cost of 18.5 gallons of gas, substitute 18.5 for g.
18.5 gallons of gas cost $59.02.
Step-by-step explanation: sorry the answer is C
