The following table shows the weights of two types of cheddar cheese and their costs. Which type of cheese can be bought more for a less amount of money?

Type $I$

Weight (in lb) $1$ $2$

Cost (in $$$ $5$ $10$

Both have the same cost per unit.

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Type

I

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Both have the same cost per unit.

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Type

I I

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Solution

The correct option is B Type $I$
Type I
Unit rate $= \frac{10}{2} = \frac{5}{1} = $ 5 / l b$

Type II
The graphs are straight lines and pass through the origin.
Hence, the graph shows a proportional relationship.
$x_{1} = 0, y_{1} = 0; x_{2} = 10, y_{2} = 60$
Unit rate $\frac{Rise}{Run} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{60 - 0}{10 - 0} = $ 6 / l b$
$5 < 6$
Thus, type $I$ cheese can be bought more for a less amount of money.

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The following table shows the weights of two types of cheddar cheese and their costs. Which type of cheese can be bought more for a less amount of money? Type I Weight (in lb) 1 2 Cost (in $ 5 10

The following table shows the weights of two types of cheddar cheese and their costs. Which type of cheese can be bought more for a less amount of money?

Type $I$

Weight (in lb) $1$ $2$

Cost (in $$$ $5$ $10$