Question

Students in the ninth-grade class drew the following graph to represent how much money would be in the class fund after selling sets of photos of their year’s activities.
a) What does the slope and
y-intercept of the graph mean
for the given situation?

b) If the graph had the same
slope but a y-intercept of 40,
what could you conclude?

c) If the graph had a slope of
12.5, what could you conclude?

Answer 1

The relationship between the sets of photos and the amount raised is an illustration of linear equations

(a) Interpret the slope and the y-intercept

From the graph, we have the following points

(x,y) = (0,25) and (1,40).

The slope (m) is calculated as:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{40 - 25}{1 - 0}$

$m = \frac{15}{1}$

$m = 15$

The slope (15) means that, they charge $15 per photo they sold

The y-intercept is the point where x = 0.

So, the y-intercept is 25

This means that, they have raised $25 before they start selling the photos

(b) Same slope but different y-intercept of 40

This means that, they have raised $40 before they start selling the photos

(c) Different slope of 12.5

The slope (12.5) means that, they charge $12.5 per photo they sold

Read more about linear equations at:

brainly.com/question/13729904