Solve Unit Rate Problems Quick Check

Question

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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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Answer 1

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.

Answer 2

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

Answer 3

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.

Answer 4

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

Answer 5

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.