Question

a team is selling discount cards as a fundraiser. the table shows the number of cards sold and the remaining amount of money needed.
discount cards fundraiser

cards sold	remainder of goal
20	$795
30	$715
40	$635
50	$555

which word describes the slope of the line representing the data in the table?
○ zero
○ undefined
○ negative
○ positive

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Choose two points

Take \( (x_1, y_1)=(10, 875) \) and \( (x_2, y_2)=(20, 795) \).

Step3: Calculate slope

Substitute into the formula: \( m=\frac{795 - 875}{20 - 10}=\frac{- 80}{10}=-8 \).
Since the slope is negative, as the number of cards sold (x - value) increases, the remainder of the goal (y - value) decreases.

Answer:

negative