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
32 square kilometers
32 square kilometers
16 square kilometers
16 square kilometers
2 square kilometers
2 square kilometers
8 square kilometers
The oil spill covers 4 square kilometers in 1/4 of an hour. Therefore, in 1 hour, it will cover 4 x 4 = <<4*4=16>>16 square kilometers.
In 2 hours, it will cover 16 x 2 = <<16*2=32>>32 square kilometers.
Therefore, the correct answer is 32 square kilometers.
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
240 people
240 people
3,000 people
3,000 people
The town's population has grown by 600 people in 2 years. Therefore, on average, it grows by 600/2 = <<600/2=300>>300 people per year.
In 5 years, it would grow by 300 x 5 = <<300*5=1500>>1,500 people.
Therefore, the correct answer is 1,500 people.
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
20 deer
20 deer
60,000 deer
60,000 deer
6,000 deer
6,000 deer
320 deer
The scientist finds 200 deer in 10 square miles. Therefore, on average, there are 200/10 = <<200/10=20>>20 deer per square mile.
In an area of 300 square miles, the scientist can expect to find 20 x 300 = <<20*300=6000>>6,000 deer.
Therefore, the correct answer is 6,000 deer.
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
14 cookies
14 cookies
63 cookies
63 cookies
84 cookies
84 cookies
28 cookies
The baker bakes 3 batches of cookies and makes 42 cookies. Therefore, each batch produces 42/3 = <<42/3=14>>14 cookies.
If the baker bakes 2 batches, they will make 14 x 2 = <<14*2=28>>28 cookies.
Therefore, the correct answer is 28 cookies.
A driver drove 90 miles and used 4 gallons of gasoline. What is the vehicle’s consumption rate in miles per gallon?(1 point)
Responses
20 miles per gallon
20 miles per gallon
22.5 gallons per mile
22.5 gallons per mile
490 miles per gallon
Start Fraction 4 over 90 End Fraction miles per gallon
22.5 miles per gallon
22.5 miles per gallon
The driver drove 90 miles and used 4 gallons of gasoline. To find the consumption rate in miles per gallon, we divide the total miles driven by the number of gallons used. Therefore, the consumption rate is 90 miles / 4 gallons = 22.5 miles per gallon.
Therefore, the correct answer is 22.5 miles per gallon.
To find out how many square kilometers the oil spill will cover in 2 hours, we can use a proportion.
First, we need to determine how many square kilometers it covers in 1 hour. Since it covers 4 square kilometers in 14 of an hour, we can set up a proportion:
4/14 = x/1
Now, to find out how many square kilometers it will cover in 2 hours, we can set up another proportion using the result from the previous step:
4/14 = x/2
To solve for x, we can cross-multiply:
4 * 2 = 14 * x
8 = 14x
Divide both sides by 14 to isolate x:
x = 8/14
Simplifying the fraction:
x = 4/7
So, the oil spill will cover approximately 4/7 square kilometers in 2 hours.