A planet spins 2 revolutions every 2 days. What is the unit rate in revolutions per day? (Do not include units in your answer.)

The unit rate in revolutions per day is 1.

There are 2,400 calories in a whole pumpkin pie. If the pie is cut into 8 equal slices, what is the unit rate in calories per slice? (Do not include units in your answer.)(1 point)

The unit rate in calories per slice is 300.

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 = 8/300
Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 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 = 300/8
Start Fraction 2 over 75 End Fraction equals Start Fraction 300 over 8 End Fraction

75/2 = 8/300

The correct proportion that describes the relationship between the number of buses and the number of students is 2/75 = 8/300.

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 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 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 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.

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.
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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.

One worker earns $85 in 2 weeks, and another earns $175 in 4 weeks. Are the pay rates proportional?(1 point)

Responses

Yes, because the ratios of dollars to weeks worked are equivalent.
Yes, because the ratios of dollars to weeks worked are equivalent.

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 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.

No, because the ratios of dollars to weeks are not equivalent.

A car travels 110 miles/2 hours . What is the unit rate?(1 point)

Responses

 55 miles per hour
 55 miles per hour

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

The unit rate is 55 miles per hour.

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 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.

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 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.
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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.