A planet spins 2 revolutions every 2 days. What is the unit rate in revolutions per day? (Do not include units in your answer.)(1 point) $$

Answer 1

To find the unit rate in revolutions per day, we need to divide the number of revolutions by the number of days.

The planet spins 2 revolutions in 2 days.

We can calculate the unit rate as follows:

\[ \text{Unit rate} = \frac{2 \text{ revolutions}}{2 \text{ days}} = 1 \text{ revolution per day} \]

Thus, the answer is:

1

Answer 2

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)

Answer 3

To find the unit rate of calories per slice, we divide the total number of calories by the number of slices.

The total calories in the pumpkin pie is 2,400, and it is cut into 8 equal slices.

Now we calculate:

\[ \text{Calories per slice} = \frac{2400 \text{ calories}}{8 \text{ slices}} = 300 \text{ calories per slice} \]

Thus, the answer is:

300

Answer 4

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 275 = 8300 Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction 752 = 8300 Start Fraction 75 over 2 End Fraction equals Start Fraction 8 over 300 End Fraction 275 ≠ 8300 Start Fraction 2 over 75 End Fraction is not equal to Start Fraction 8 over 300 End Fraction 275 = 3008

Answer 5

To find the correct proportion that describes the relationship between the number of buses and the number of students, we compare the two situations provided:

• For the first situation: 2 buses for 75 students can be represented as \( \frac{2}{75} \).
• For the second situation: 8 buses for 300 students can be represented as \( \frac{8}{300} \).

The correct proportion that describes the relationship is:

\[ \frac{2}{75} = \frac{8}{300} \]

Thus, the answer that matches this is:

Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction.

Answer 6

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 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. 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.

Answer 7

To determine if the bear population is proportionally related to the number of years, we must check if the ratios of the bear population to the number of years are constant.

Let's set up the ratios using the data provided in the table:

• For 1 year: Population = 6, Ratio = \( \frac{6}{1} = 6 \)
• For 2 years: Population = 20, Ratio = \( \frac{20}{2} = 10 \)
• For 3 years: Population = 120, Ratio = \( \frac{120}{3} = 40 \)
• For 4 years: Population = 60, Ratio = \( \frac{60}{4} = 15 \)
• For 5 years: Population = 240, Ratio = \( \frac{240}{5} = 48 \)

Now, we compare the ratios:

1. \( \frac{6}{1} = 6 \)
2. \( \frac{20}{2} = 10 \)
3. \( \frac{120}{3} = 40 \)
4. \( \frac{60}{4} = 15 \)
5. \( \frac{240}{5} = 48 \)

As we can see, the ratios are not equal; they vary significantly as the years increase. Given this inconsistency, we can conclude that the bear population is not proportionally related to the number of years.

Thus, the correct response is:

The bear population is not proportionally related to the number of years because the ratios are not equivalent.

Answer 8

u sure?

Answer 9

Let’s carefully analyze the provided information again to ensure clarity and correctness regarding the relationship between bear population and years.

Given the pairs:

• Year 1: Population = 6
• Year 2: Population = 20
• Year 3: Population = 120
• Year 4: Population = 60
• Year 5: Population = 240

Now we check the ratios of the population to years:

1. For 1 year: \( \frac{6}{1} = 6 \)
2. For 2 years: \( \frac{20}{2} = 10 \)
3. For 3 years: \( \frac{120}{3} = 40 \)
4. For 4 years: \( \frac{60}{4} = 15 \)
5. For 5 years: \( \frac{240}{5} = 48 \)

Let’s summarize:

• Ratios:
  • 1 year: 6
  • 2 years: 10
  • 3 years: 40
  • 4 years: 15
  • 5 years: 48

These ratios are not consistent; they do not stay the same across the years. This indicates that the population does not grow proportionally with respect to the number of years since the ratios are varying and not equivalent.

Therefore, the conclusion remains that the bear population is not proportionally related to the number of years.

The accurate response is indeed:

The bear population is not proportionally related to the number of years because the ratios are not equivalent.

Thank you for prompting me to clarify this; it’s vital to ensure accuracy!

Answer 10

look at the responses

Answer 11

Thank you for your patience! Let's analyze the responses you provided more closely to find which one aligns with the conclusion about the bear population and time. Here are the given options again:

1. 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.
2. 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.
3. The bear population is proportionally related to the number of years because the ratios are not equivalent.
4. The bear population is proportionally related to the number of years because the ratios are not equivalent.
5. The bear population is proportionally related to the number of years because the ratios are equivalent.
6. The bear population is proportionally related to the number of years because the ratios are equivalent.
7. The bear population is not proportionally related to the number of years because the ratios are equivalent.
8. The bear population is not proportionally related to the number of years because the ratios are equivalent.

From the analysis of the provided data, we concluded that the ratios of the bear population per year are not constant, indicating that the bear population is not proportionally related to the number of years.

Thus, the correct option would be:

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.

This choice corresponds with the observation that the ratios are not consistent. Options 1 and 2 are repeated, so either of those works as a correct answer.

Apologies for the confusion earlier, and thank you for your guidance!