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. Which word describes the slope of the line representing the data in the table?
________________________________________________________________
DISTRICT CARDS FUNDRAISER
________________________
I Cards Sold IIII Remainder of Goal
10 IIII $875
20 $795
30 $715
40 $635
50 $555
Options
-zero
-undefined
-negative
-positive

Answer 1

Answer: negative.

Step-by-step explanation:

We know that the slope of the line $\frac{\text{change in y}}{\text{change in x}}$

Therefore, the slope for the given data$=\frac{y_2-y_1}{x_2-x_1}$

$\Rightarrow\ Slope=\frac{795-875}{20-10}\\=\frac{-80}{10}\\=-8...,\text{which is negative.}$

Hence, the word which describes the slope of the line representing the data in the table = negative.

Answer 2

Slope = (y2 - y1) / (x2 - x1)
(10,875)(20,795)
slope = (795 - 875) / (20 - 10) = -80/10 = -8....negative slope