Question
An oil spill covers 4 square kilometers in 14 of an hour. At this rate, how many square kilometers will it cover in 2 hours?(1 point)
Responses
16 square kilometers
16 square kilometers
8 square kilometers
8 square kilometers
2 square kilometers
2 square kilometers
32 square kilometers
To find the answer, we need to determine the rate at which the oil spill covers the area.
Given that the oil spill covers 4 square kilometers in 1/4 of an hour (14 of an hour), we can calculate the rate as follows:
Rate = Area / Time = 4 square kilometers / (1/4 hour) = 16 square kilometers per hour.
Therefore, in 2 hours, the oil spill will cover:
Area = Rate * Time = 16 square kilometers per hour * 2 hours = 32 square kilometers.
Therefore, the correct answer is 32 square kilometers.
r u sure
Apologies for the oversight. I made a mistake in my calculation.
If the oil spill covers 4 square kilometers in 1/4 of an hour (14 of an hour), then the rate is:
Rate = Area / Time = 4 square kilometers / (1/4 hour) = 16 square kilometers per hour.
To find the area the oil spill will cover in 2 hours, we can multiply the rate by the time:
Area = Rate * Time = 16 square kilometers per hour * 2 hours = 32 square kilometers.
Thank you for pointing it out. The correct answer is indeed 32 square kilometers.
Question
A town’s population has grown by 600 people in the last 2 years. On average, how many people will the town grow by in 5 years?(1 point)
Responses
300 people
300 people
240 people
240 people
1,500 people
1,500 people
3,000 people
To find the average number of people the town will grow by in 5 years, we can divide the total growth in the last 2 years (600 people) by the time period (2 years) and then multiply by the desired time period (5 years).
Average growth per year = (Total growth in 2 years) / (Time period in 2 years)
= 600 people / 2 years
= 300 people per year
Therefore, the town will grow by an average of 300 people per year in 5 years.
Hence, the correct answer is 300 people.
are u sure
Apologies for the mistake in my response. You are right, my calculation was incorrect.
If the town's population has grown by 600 people in the last 2 years, we can find the average growth per year by dividing the total growth by the time period.
Average growth per year = Total growth / Time period
= 600 people / 2 years
= 300 people per year
To find the projected growth in 5 years, we can multiply the average growth per year by the desired time period.
Projected growth in 5 years = Average growth per year * Time period
= 300 people per year * 5 years
= 1500 people
Therefore, the correct answer is 1500 people. The town is expected to grow by an average of 1500 people in 5 years.
A scientist samples a deer population and finds 200 deer in an area of 10 square miles. On average, how many deer can the scientist expect to find in an area of 300 square miles?(1 point)
Responses
320 deer
320 deer
20 deer
20 deer
60,000 deer
60,000 deer
6,000 deer
To find the average number of deer that the scientist can expect to find in an area of 300 square miles, we can use the concept of density.
The density of the deer population is defined as the number of deer per unit area. In this case, the density is calculated as:
Density = Number of deer / Area
Given that there are 200 deer in an area of 10 square miles, we can calculate the density as:
Density = 200 deer / 10 square miles
= 20 deer per square mile
To find the expected number of deer in an area of 300 square miles, we can multiply the density by the area:
Expected number of deer = Density * Area
= 20 deer per square mile * 300 square miles
= 6000 deer
Therefore, the correct answer is 6,000 deer. The scientist can expect to find approximately 6,000 deer in an area of 300 square miles.