Proportional Reasoning Remediation Week 1

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities that change in relation to each other.

Front

How do you calculate a percentage tip on a bill?

Back

To calculate a percentage tip, multiply the total bill amount by the percentage (as a decimal). For example, for a 20% tip on a $52.16 bill: $52.16 x 0.20 = $10.43. Then add the tip to the original bill.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is the significance of the origin in a graph representing proportional relationships?

Back

A proportional relationship must pass through the origin (0,0) because when one quantity is zero, the other must also be zero.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, to simplify 35:14, divide both by 7 to get 5:2.

Front

What is an asset?

Back

An asset is anything of value or a resource owned by an individual or entity, such as cash, property, or investments.

Front

If Mr. Palacios delivers 60 newspapers in 3/4 of an hour, how many newspapers does he deliver per hour?

Back

To find the rate per hour, divide 60 by 0.75 (3/4). He delivers 80 newspapers per hour.

Front

How do you find the total cost including a tip?

Back

To find the total cost including a tip, first calculate the tip amount and then add it to the original bill. For example, if the bill is $52.16 and the tip is $10.43, the total is $62.59.

Front

What is the formula for finding a percentage of a number?

Back

The formula for finding a percentage of a number is: (percentage/100) x total number.

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis, it indicates the value of the dependent variable when the independent variable is zero.