equivalent ratios. example 1 use unit rates determine if 20 rolls for $5 and 48 rolls for $12 are...
TRANSCRIPT
Equivalent Ratios
Use Unit Rates
Determine if 20 rolls for $5 and 48 rolls for $12 are equivalent rates. Explain your reasoning.
Write each rate as a fraction. Then find its unit rate.
=20 rolls$5
__________ 4 rolls$1
_________ =__________48 rolls$12
4 rolls$1
_________
Answer: Since the rates have the same unit
rate,
, they are equivalent.
4 rolls$1
_______
÷5
÷5 ÷12
÷12
A. Yes; they have the same unit rate, .
B. Yes; they have the same unit rate, .
C. Yes; they have the same unit rate, .
D. No; they do not have the same unit rate.
Determine if $24 for 4 hours and $30 for 6 hours are equivalent rates. Explain your reasoning.
Determine if 42 people on 7 teams and 64 people on 8 teams are equivalent rates. Explain your reasoning.
Write each rate as a fraction. Then find its unit rate.
Use Unit Rates
=____________42 people7 teams
___________6 people1 team
=____________64 people8 teams
___________8 people1 team
Answer: Since the rates do not have the same unitrate, they are not equivalent.
÷7 ÷8
÷7 ÷8
Determine if 90 miles in 2 hours and 135 miles in 3 hours are equivalent rates. Explain your reasoning.
A. Yes; they have the same unit rate,
B. Yes; they have the same unit rate,
C. Yes; they have the same unit rate,
D. No; they do not have the same unit rate.
FOOD You can buy 3 medium pizzas at The Pizza Place for $18 or 5 medium pizzas for $30. Are these selling rates equivalent? Explain your reasoning.
Write each rate as a fraction. Then find its unit rate.
Use Unit Rates
=__________$183 pizzas
_________$61 pizza
=__________$305 pizzas
_________$61 pizza
÷3
÷3
÷5
÷5
Use Unit Rates
Answer: Since the unit rates are the same,
,
the rates are equivalent.
_______$61 pizza
CARWASHING On Saturday, the tennis team washed 42 cars in 3 hours to raise money for the team. On Sunday, they washed 60 cars in 5 hours. Are these work rates equivalent? Explain your reasoning.
A. Yes; since the unit rates are the same, the rates are equivalent.
B. Yes; since the unit rates are the same, the rates are equivalent.
C. Yes; since the unit rates are the same, the rates are equivalent.
D. No; since the unit rates are not the same, the rates are not equivalent.
Determine if 5 laps swum in 8 minutes and 11 laps swum in 16 minutes are equivalent rates. Explain your reasoning.
Write each rate as a fraction.
The numerator and the denominator are not multiplied by the same number. So, the fractions are not equivalent.
Use Equivalent Fractions
=____________5 laps8 minutes
___________11 laps16 minutes
?
×2
×2.2
Answer: Since the fractions are not equivalent, therates are not equivalent.
Use Equivalent Fractions
A. No; since is not a unit rate, the ratios are not equivalent.
B. Yes; since the ratios are equivalent.
C. Yes; since the fractions are equivalent.
D. No; since the fractions are not equivalent, the ratios are not equivalent.
Determine if 4 free throws made out of 6 attempts and 8 free throws made out of 12 attempts are equivalent ratios.
Use Equivalent Fractions
Determine if 8 corrals with 56 horses and 4 corrals with 28 horses are equivalent ratios. Explain your reasoning.
Write each ratio as a fraction.
=____________8 corrals56 horses
___________4 corrals28 horses
?
÷2
÷2
Use Equivalent Fractions
Answer: Since the fractions are equivalent, theratios are equivalent.
The numerator and the denominator are divided by the same number. So, the fractions are equivalent.
A. Yes; since the ratios are equivalent.
B. Yes; since the fractions are equivalent.
C. No; since is not a unit rate, the ratios are not equivalent.
D. No; since the ratios are not equivalent.
Determine if 15 boys out of 36 students and 5 boys out of 9 students are equivalent ratios.