Question
1 answer:
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Answer:
A. A straight line can be drawn through all the points and the line passes through the point (0,0) .
Step-by-step explanation:
See comment for options
Given
A graph with proportional relationship
Required
Which of options (a to d) describes the graph
A graph with a proportional relationship is represented as:
and
is a paired point on the graph
This implies that options (b) and (c) are not true
Option (d) is also incorrect because if the graph does not pass through all points, then it is not proportional.
<em>Hence, (a) is correct</em>
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