If 2 buses are needed to transport 75 students to the aquarium and 8 buses can transport 300 students to the aquarium, which proportion describes the relationship between the number of buses and the number of students? (Do not reduce the ratios to their lowest terms.)(1 point)
Responses
2/75 = 300/8
Start Fraction 2 over 75 End Fraction equals Start Fraction 300 over 8 End Fraction
2/75 ≠ 8/300
Start Fraction 2 over 75 End Fraction is not equal to Start Fraction 8 over 300 End Fraction
2/75 = 8/300
Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction
75/2 = 8/300
Start Fraction 75 over 2 End Fraction equals Start Fraction 8 over 300 End Fraction
Use the table to answer the question.
Time (years) Bear Population
1 6
20 120
60 240
One biologist claimed that the bear population was proportionally related to the number of years after they were reintroduced into the wild. Based on the information in the table, would you agree? Explain your answer.
(1 point)
Responses
The bear population is proportionally related to the number of years because the ratios are equivalent.
The bear population is proportionally related to the number of years because the ratios are equivalent.
The bear population is not proportionally related to the number of years because the ratios are equivalent.
The bear population is not proportionally related to the number of years because the ratios are equivalent.
The bear population is proportionally related to the number of years because the ratios are not equivalent.
The bear population is proportionally related to the number of years because the ratios are not equivalent.
The bear population is not proportionally related to the number of years because the ratio in the last row is not equal to the ratios in the first two rows.
The bear population is not proportionally related to the number of years because the ratio in the last row is not equal to the ratios in the first two rows.
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The bear population is proportionally related to the number of years because the ratios are equivalent.
One worker earns $85 in 2 weeks, and another earns $175 in 4 weeks. Are the pay rates proportional?(1 point)
Responses
No, because the ratios of dollars to weeks are not equivalent.
No, because the ratios of dollars to weeks are not equivalent.
Yes, because the ratios of dollars to weeks worked are equivalent.
Yes, because the ratios of dollars to weeks worked are equivalent.
Yes, because the ratios of weeks to dollars are equivalent.
Yes, because the ratios of weeks to dollars are equivalent.
No, because the ratios of weeks to dollars cannot be reduced.
Yes, because the ratios of dollars to weeks worked are equivalent.
A car travels 110 miles/2 hours . What is the unit rate?(1 point)
Responses
one mile per 55 hours
one mile per 55 hours
2 hours per 110 miles
2 hours per 110 miles
110 miles per 2 hours
110 miles per 2 hours
55 miles per hour
110 miles per 2 hours
Use the image to answer the question.
Two price tags show the weight and cost of each bag. The first price tag shows a 2 pound bag, with a cost of 1 dollar and 99 cents, at 1 dollar per pound. The second price tag shows a 5 pound bag, with a cost of 3 dollars and 99 cents, at 0.80 cents per pound.
You have $10
to spend on carrots for your rabbits. Compare the prices for two different-sized bags. Which size is a better deal and why?
(1 point)
Responses
The 5-lb. bag is the better deal because 5 lb. is more than 2 lb.
The 5-lb. bag is the better deal because 5 lb. is more than 2 lb.
The 5-lb. bag is the better deal because it costs less than the 2-lb. bag.
The 5-lb. bag is the better deal because it costs less than the 2-lb. bag.
The 2-lb. bag is the better deal because it costs less.
The 2-lb. bag is the better deal because it costs less.
The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.
The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.
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The 5-lb. bag is the better deal because the unit rate for the 5-lb. bag is less than the unit rate for the 2-lb. bag.
The correct proportion that describes the relationship between the number of buses and the number of students is:
2/75 = 8/300
To understand how to get this answer, you need to consider the relationship between the number of buses and the number of students being transported. The proportion compares the number of buses needed to transport 75 students with the number of buses that can transport 300 students.
To set up the proportion, we can use the fact that 2 buses are needed to transport 75 students, and 8 buses can transport 300 students.
So, we can set it up as:
(number of buses needed to transport 75 students) / (number of buses that can transport 300 students) = (number of students) / (total number of students that can be transported)
This can be written as:
2/75 = 8/300
Now, you can see that the fractions are equivalent, as both sides of the proportion are equal.