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Numbers six seven and eight are all one big part need help please

Numbers six seven and eight are all one big part need help please-example-1
User Allison
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1 Answer

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So,

If we analyze the table of plastic chairs, we can notice that there's an addition of 4 between each term. That means that it is a linear function whose slope is given by the following:


m=(\Delta y)/(\Delta x)=(4)/(4)=1

The triangle that you see means the change between each x and y terms, respectively.

The equation that satisfies this table is:


y=x+5

In the table of Wooden chairs, there's a multiplicative relationship. Where the ratio is:


(22)/(8)=(33)/(12)=(44)/(16)=2.75

So, the equation that represents this table is:


y=2.75x

A verbal description of the plastic chairs, could be that:

"The total rental cost has an initial cost of $5, which means that 5 chairs had been already rented. Each chair's rent cost $1, so that's y = x + 5 which is the total rental cost".

A verbal description of the wooden chairs, could be that:

"Each chair is rented with a price of 2.75$ per chair. So that's the total rental cost".

Comparing, the first table is not a directly proportional relationship because the line doesn't pass through the origin. The second one is actually a directly proportional relationship since it is a line that passes through the origin.

User Jbsmith
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