Homework 12/12

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you set up a proportion to find the cost of an item?

Back

Front

What is the formula to calculate a percentage increase?

Back

To calculate a percentage increase, use the formula: New Value = Original Value + (Percentage Increase × Original Value).

Front

If you earn $300 and receive an 8% raise, how do you calculate your new salary?

Back

Calculate the raise: 8% of $300 = 0.08 × 300 = $24. Add this to the original salary: $300 + $24 = $324.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope from a table of values?

Back

The slope can be determined by taking the change in y (rise) over the change in x (run) between two points: slope = (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal. For example, if a/b = c/d, then a:b is proportional to c:d.

Front

How can you check if two ratios are proportional?

Back

To check if two ratios are proportional, cross-multiply and see if the products are equal: if a/b = c/d, then a*d = b*c.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.