Understanding Price and Discounts

Front

What is the slope of a graph in the context of price and discounts?

Back

The slope represents the rate of change of price with respect to the discount percentage. It indicates how much the price decreases for each additional percentage of discount.

Front

How do you calculate the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

If a graph moves 15 units to the right and 5 units down, what is the slope?

Back

The slope is -5/15 = -1/3, meaning the price decreases by $0.33 for each additional 1% discount.

Front

What does a negative slope indicate in a price vs. discount graph?

Back

A negative slope indicates that as the discount percentage increases, the price decreases.

Front

In the context of discounts, what does a slope of -0.20 mean?

Back

It means that for every 1% increase in discount, the price decreases by $0.20.

Front

What is the significance of the y-intercept in a price vs. discount graph?

Back

The y-intercept represents the original price of the item before any discounts are applied.

Front

How does a steeper slope affect the price of an item with increasing discounts?

Back

A steeper slope indicates a greater decrease in price for each additional percentage of discount.

Front

If the price of shoes is $100 and the slope is -0.10, what is the price after a 20% discount?

Back

The price after a 20% discount is $100 - (20 * $0.10) = $98.

Front

What is the formula to find the new price after applying a discount?

Back

New Price = Original Price - (Original Price * Discount Percentage).

Front

If a pair of shoes originally costs $200 and has a slope of -0.50, what will be the price after a 40% discount?

Back

The price after a 40% discount is $200 - (200 * 0.50 * 0.40) = $200 - $40 = $160.