Question

Compare the proportional relationships. Which represents the greatest price per pound of walnuts

Answer 1

Answer:

B. Weight

Price

Answer 2

The price per pound of walnuts is the slope or unit rates of the graphs, lines and equations

The greatest price per pound of walnuts is $14.00

(a) Cost of 1.5 bags is $12.99

The unit rate is calculated as:

$\mathbf{Rate = \frac{Cost}{Bags}}$

So, we have:

$\mathbf{Rate = \frac{\ 12.99}{1.5}}$

$\mathbf{Rate = \ 8.66}$

The price per pound of walnuts is $8.66

(b) The table

From the table, we have the following points

$\mathbf{(x,y) =(0.2,2.80)\ (0.4, 5.60)}$

The unit rate is calculated as:

$\mathbf{Rate = \frac{y_2 - y_1}{x_2 - x_1}}$

So, we have:

$\mathbf{Rate = \frac{5.60 - 2.80}{0.4 - 0.2}}$

$\mathbf{Rate = 14}$

The price per pound of walnuts is $14.00

(c) The graph

From the table, we have the following points

$\mathbf{(x,y) =(0,0)\ (1, 11)}$

The unit rate is calculated as:

$\mathbf{Rate = \frac{y_2 - y_1}{x_2 - x_1}}$

So, we have:

$\mathbf{Rate = \frac{11 - 0}{1 - 0}}$

$\mathbf{Rate = 11}$

The price per pound of walnuts is $11.00

By comparison, the greatest price per pound of walnuts is $14.00

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