Solve Unit Rate Problems Quick Check
2 of 52 of 5 Items
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
1,500 people
1,500 people
3,000 people
3,000 people
240 people
240 people
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To find the average number of people the town will grow by in 5 years, divide the increase in population over 2 years by the number of years mentioned and multiply by 5:
600 people / 2 years = 300 people per year
300 people per year * 5 years = 1500 people
Therefore, the town will 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
6,000 deer
6,000 deer
320 deer
320 deer
20 deer
20 deer
60,000 deer
To find the average number of deer in an area of 300 square miles, we can set up a proportion using the given information:
200 deer / 10 square miles = x deer / 300 square miles
To solve for x, we can cross-multiply:
10 * x = 200 * 300
10x = 60000
x = 60000 / 10
x = 6000
Therefore, the scientist can expect to find an average of 6000 deer in an area of 300 square miles.
A baker bakes 3 batches of cookies and makes 42 cookies. How many cookies will be made if the baker bakes 2 batches?(1 point)
Responses
63 cookies
63 cookies
14 cookies
14 cookies
28 cookies
28 cookies
84 cookies
To solve this problem, we can use a unit rate approach. We can find the number of cookies made in one batch by dividing the total number of cookies (42) by the number of batches (3):
42 cookies / 3 batches = 14 cookies per batch
To find the number of cookies made if the baker bakes 2 batches, we can multiply the number of batches (2) by the cookies per batch:
2 batches * 14 cookies per batch = 28 cookies
Therefore, if the baker bakes 2 batches, they will make 28 cookies.
To solve this problem, we need to find the average rate at which the town's population has been growing per year.
To do this, we can divide the total increase in population by the number of years. In this case, the town's population has grown by 600 people in the last 2 years, so the average increase per year is 600 people / 2 years = 300 people per year.
Now that we know the average increase per year, we can calculate the predicted increase in population in 5 years. To do this, we multiply the average increase per year by the number of years. In this case, the average increase per year is 300 people per year and we want to know the increase in 5 years, so we multiply 300 people/year by 5 years.
300 people/year * 5 years = 1500 people
Therefore, the town is predicted to grow by 1500 people in 5 years.
So, the correct response is:
1,500 people