IM Unit 4 Assessment Review

Front

What is percent error?

Back

Percent error is a measure of how inaccurate a measurement is, expressed as a percentage of the true value. It is calculated using the formula: Percent Error = |(Estimated Value - Actual Value)| / Actual Value * 100%.

Front

How do you calculate the new population after a percentage decrease?

Back

To calculate the new population after a percentage decrease, multiply the original population by (1 - percentage decrease). For example, if the original population is 60 and it decreases by 25%, the new population is 60 * (1 - 0.25) = 60 * 0.75 = 45.

Front

What does it mean if a container holds 25% more than another?

Back

If a container holds 25% more than another, it means the new container's volume is 125% of the original container's volume. To find the new volume, multiply the original volume by 1.25.

Front

How do you find the total cost of multiple items purchased by weight?

Back

To find the total cost of multiple items purchased by weight, multiply the weight of each item by its price per pound and then sum the costs of all items.

Front

What is the formula to find the length of an object that is a certain percentage longer than another?

Back

To find the length of an object that is a certain percentage longer, use the formula: New Length = Original Length * (1 + Percentage Increase). For example, if a truck is 75% longer than a car that is 180 inches long, the truck's length is 180 * (1 + 0.75) = 315 inches.

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It is often used to compare relative sizes or amounts.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For example, 1/4 = (1 ÷ 4) * 100 = 25%.

Front

What is the significance of estimating time for tasks?

Back

Estimating time for tasks helps in planning and managing time effectively. It allows individuals to allocate resources and prioritize tasks based on expected completion times.

Front

How do you calculate the percent error in an estimate?

Back

To calculate the percent error in an estimate, use the formula: Percent Error = |(Estimated Value - Actual Value)| / Actual Value * 100%. For example, if the estimate is 3 hours and the actual time is 5 hours, Percent Error = |(3 - 5)| / 5 * 100% = 40%.

Front

What is the relationship between percentage decrease and the remaining amount?

Back

The relationship is that the remaining amount after a percentage decrease can be calculated by multiplying the original amount by (1 - percentage decrease). For example, a 25% decrease means you retain 75% of the original amount.