3. At a farm market, peaches are priced at a constant rate.

a. Complete the following table.

\begin{tabular}{c|c}
\begin{tabular}{c}
Number of Pounds \\
of Peaches
\end{tabular} & \begin{tabular}{c}
Total Cost \\
(dollars)
\end{tabular} \\
\hline
0.5 & 1.10 \\
\hline
6 & 4.40 \\
\hline
& \\
\hline
\end{tabular}



Answer :

To complete the table, we need to find the cost per pound of peaches and then use this cost to determine the total cost for different amounts of peaches.

Given the known values:
- The total cost for 0.5 pounds of peaches is [tex]$1.10. - The total cost for 6 pounds of peaches is $[/tex]4.40.

### Step-by-Step Solution:

1. Find the Cost Per Pound:
The cost per pound can be found by using the relationship between the two known points (0.5 pounds, [tex]$1.10) and (6 pounds, $[/tex]4.40).

The first step is to calculate the cost difference and the pound difference between the two points:

[tex]\[ \text{Cost difference} = 4.40 - 1.10 = 3.30 \text{ dollars} \][/tex]

[tex]\[ \text{Pound difference} = 6 - 0.5 = 5.5 \text{ pounds} \][/tex]

Now, we calculate the cost per pound:

[tex]\[ \text{Cost per pound} = \frac{3.30 \text{ dollars}}{5.5 \text{ pounds}} = 0.60 \text{ dollars per pound} \][/tex]

2. Calculate the Total Cost for Different Amounts of Peaches:

- 1 pound of peaches:
[tex]\[ \text{Total cost for 1 pound} = 0.60 \text{ dollars} \times 1 \text{ pound} = 0.60 \text{ dollars} \][/tex]

- 3 pounds of peaches:
[tex]\[ \text{Total cost for 3 pounds} = 0.60 \text{ dollars} \times 3 \text{ pounds} = 1.80 \text{ dollars} \][/tex]

3. Complete the Table:

Now, using the cost per pound of $0.60, we can fill in the missing entries for any other weights if needed.

[tex]\[ \begin{array}{c|c} \text{Number of Pounds of Peaches} & \text{Total Cost (dollars)} \\ \hline 0.5 & 1.10 \\ \hline 6 & 4.40 \\ \hline 1 & 0.60 \\ \hline 3 & 1.80 \\ \hline \end{array} \][/tex]

This completes the table using the calculated cost per pound.