An investor bought 800 acres of land for $2,000,000. How much is the cost per acre?(1 point) $

Answer 1

To find the cost per acre, you can divide the total cost of the land by the number of acres.

In this case:

\[ \text{Cost per acre} = \frac{\text{Total cost}}{\text{Total acres}} = \frac{2,000,000}{800} \]

Calculating this gives:

\[ \text{Cost per acre} = 2,500 \]

So, the cost per acre is $2,500.

Answer 2

Sonia bought 15 pounds of candies to give away for Halloween. She paid $25 for the candies. What is the cost per pound?(1 point) $

Answer 3

To find the cost per pound of candies, you can divide the total cost by the total weight in pounds.

In this case:

\[ \text{Cost per pound} = \frac{\text{Total cost}}{\text{Total pounds}} = \frac{25}{15} \]

Calculating this gives:

\[ \text{Cost per pound} \approx 1.67 \]

So, the cost per pound is $1.67 (rounded to two decimal places).

Answer 4

There are 600 old-growth trees in a forested area measuring 100 acres. A biologist calculates a unit rate based on the data that was collected. Determine what conclusion the biologist can make about the forest.(1 point) Responses The forest has 6 old-growth trees per acre. The forest has 6 old-growth trees per acre. The forest loses 6 old-growth trees per 100 years. The forest loses 6 old-growth trees per 100 years. There is not enough information to determine the number of trees per acre. There is not enough information to determine the number of trees per acre. The forest has 1 old-growth tree per acre.

Answer 5

To find the number of old-growth trees per acre, you can divide the total number of trees by the total acreage.

In this case:

\[ \text{Trees per acre} = \frac{\text{Total number of trees}}{\text{Total acres}} = \frac{600}{100} = 6 \]

Based on this calculation, the biologist can conclude that:

The forest has 6 old-growth trees per acre.

Answer 6

It takes light 8 minutes to travel from the sun to the Earth. If the distance between the sun and the Earth is about 93 million miles, determine the approximate speed of light as the unit rate in millions of miles per minute.(1 point) Responses 0.086 minutes per 1 million miles 0.086 minutes per 1 million miles 93 million miles per 8 minutes 93 million miles per 8 minutes 31 million miles per 2.67 minutes 31 million miles per 2.67 minutes 11.6 million miles per minute

Answer 7

To determine the speed of light as a unit rate in millions of miles per minute, we can divide the total distance traveled by the time taken.

Given:

• Distance = 93 million miles
• Time = 8 minutes

The speed of light in millions of miles per minute is calculated as follows:

\[ \text{Speed of light} = \frac{\text{Distance}}{\text{Time}} = \frac{93 \text{ million miles}}{8 \text{ minutes}} \]

Calculating this gives:

\[ \text{Speed of light} = 11.625 \text{ million miles per minute} \]

Rounding to one decimal place, this is approximately 11.6 million miles per minute.

So the correct response is:

11.6 million miles per minute.

Answer 8

What is the unit rate in miles per hour if a rocket travels 22,500 miles in five hours?(1 point) Responses 45 miles per hour 45 miles per hour 4,500 miles per hour 4,500 miles per hour 450 miles per hour 450 miles per hour 45,000 miles per hour

Answer 9

To find the unit rate in miles per hour, you can divide the total distance traveled by the total time taken.

Given:

• Distance = 22,500 miles
• Time = 5 hours

The unit rate (speed) in miles per hour is calculated as follows:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{22,500 \text{ miles}}{5 \text{ hours}} \]

Calculating this gives:

\[ \text{Speed} = 4,500 \text{ miles per hour} \]

So the correct response is:

4,500 miles per hour.

Answer 10

What is the unit rate if Jane ran 100 meters in 11 seconds?(1 point) Responses 9.09 meters per second 9.09 meters per second 90.9 meters per second 90.9 meters per second 0.11 meters per second 0.11 meters per second 9.9 meters per second

Answer 11

To find the unit rate in meters per second, you can divide the total distance ran by the total time taken.

Given:

• Distance = 100 meters
• Time = 11 seconds

The unit rate (speed) in meters per second is calculated as follows:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{100 \text{ meters}}{11 \text{ seconds}} \]

Calculating this gives approximately:

\[ \text{Speed} \approx 9.09 \text{ meters per second} \]

So the correct response is:

9.09 meters per second.