Question

problem 11
in aesops fable \the crow and the pitcher\, a thirsty crow discovers a pitcher of water but is unable to reach the water with its beak. so the crow adds pebbles to the pitcher to make the water rise higher and higher until it reaches the top. then it can drink the water!
thiago recreates this situation using a cylinder containing water and a bunch of marbles. the line represents the volume of the cylinders contents, ( y ), after ( x ) marbles are added.
here is your slope from the previous screen: 8
write an equation representing the relationship between ( x ) and ( y ).

Explanation:

Step1: Identify slope and intercept

From the graph, when \( x = 0 \) (no marbles), \( y = 60 \) (initial volume). The slope \( m \) is given as 8 (from previous screen).

Step2: Use slope - intercept form

The slope - intercept form of a line is \( y=mx + b \), where \( m \) is the slope and \( b \) is the y - intercept. Here, \( m = 8 \) and \( b = 60 \). So the equation is \( y=8x + 60 \).

Answer:

\( y = 8x+60 \)