Answer:
Part A) The length of the ribbon is 15 feet
Part B)
Part C) see the explanation
Step-by-step explanation:
Part A)
Let
x -----> the length of the second piece of ribbon in feet
y -----> the length of the first piece of ribbon in feet
we know that
The length of the ribbon is equal to the sum of the first piece and the second piece of ribbon
so
y+x
take any point from the graph
Example
(13,2)
That means
Second piece ----> x=13 ft
First piece ----> y=2 ft
The length is (y+x)=2+13=15 ft
Part B) What is the slope of the line?
The formula to calculate the slope between two points is equal to
take the intercepts from the graph to calculate the slope
we have
(0,15) and (15,0)
substitute
Part C) Explain what the slope of the line represents
we know that
The slope is equal to -1
That means, that we have a decreasing function, as the value of x (length of second piece) increases by one, the value of y (length of the first piece) decreases by one
The slope fits in the story because the linear equation in slope intercept form between the variable x and the variable y is equal to