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 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 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 ratio in the last row is not equal to the ratios in the first two rows.
A car travels 110 miles/2 hours . What is the unit rate?(1 point)
Responses
110 miles per 2 hours
110 miles per 2 hours
one mile per 55 hours
one mile per 55 hours
2 hours per 110 miles
2 hours per 110 miles
55 miles per hour
To determine whether the bear population is proportionally related to the number of years, we can compare the ratios in the table. Looking at the first two rows, we have ratios of 3:1 and 6:2, which are equivalent (both reduce to 3:1). However, the ratio in the last row is 9:3, which does not reduce to 3:1. Therefore, the ratios are not equivalent and we can conclude that the bear population is not proportionally related to the number of years.
So, the correct answer is:
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
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.
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 weeks to dollars cannot be reduced.
To determine if the pay rates are proportional, we need to compare the ratios of dollars to weeks for both workers.
The first worker earns $85 in 2 weeks, which can be written as the ratio 85:2. The second worker earns $175 in 4 weeks, which can be written as the ratio 175:4.
To check if the ratios are equivalent, we can reduce them to their simplest form.
The ratio 85:2 can be reduced to 42.5:1, while the ratio 175:4 can be reduced to 43.75:1.
Since the ratios 42.5:1 and 43.75:1 are not equivalent, we can conclude that the pay rates are not proportional.
Therefore, the correct answer is:
No, because the ratios of dollars to weeks are not equivalent.
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 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 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 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.
To determine which size of bag is a better deal, we need to compare the prices.
The prompt does not provide the prices for the two different-sized bags, so we cannot determine which size is a better deal based on the information given.
Therefore, none of the provided responses are correct.
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 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 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 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.
To determine which size of bag is a better deal, we need to compare the prices of the 2-lb. bag and the 5-lb. bag.
Unfortunately, the prompt does not provide the prices for the two different-sized bags. Without knowing the prices, we cannot determine which size is a better deal.
Therefore, none of the provided responses are correct.
is it b
I apologize if my previous response was not clear. Response b states "The 5-lb. bag is the better deal because 5 lb. is more than 2 lb."
Without knowing the prices of the two different-sized bags, we cannot determine which size is a better deal based solely on the weight. It is possible that the 2-lb. bag could be priced lower and therefore provide a better deal, regardless of the difference in weight.
Therefore, response b is not the correct answer.