Given:
The graph of a line which represents position (m) at time (s).
To find:
The slope of the line.
Solution:
Formula for slope:
From the given graph it is clear that the line passes through two points (0,0) and (1,4).
Using the above formula, we get
Therefore, the slope of the line is 4 m/s.
Answer:
Let x represents the Sara eat pancake and y represents the Phil eat the pancake.
As per the statement:
Phil ate three less than twice as many pancakes as Sara.
"Twice as many pancake as Sara" means 2x
"three less than twice as many pancakes as Sara" means 2x -3
⇒ .....[1]
It is also given that together they combined to eat 15 pancakes.
⇒ .....[2]
Substitute equation [1] into [2] we get;
Combine like terms;
3x-3 =15
Add 3 to both sides we get;
3x = 18
Divide both sides by 3 we get;
x = 6
Substitute the value of x in [1] we get;
y = 2(6)-3 = 12-3 =9
y = 9
Therefore, the pancakes did each eat are;
Sara eat pancake = 6 and Phil eat pancake = 9