To determine how much Mrs. Tennison will pay for [tex]\(3 \frac{1}{2}\)[/tex] pounds of green beans, follow these steps:
1. Understand the unit cost: The cost of one pound of green beans is [tex]\(\$ 1.80\)[/tex].
2. Convert the weight: [tex]\(3 \frac{1}{2}\)[/tex] pounds can be written as [tex]\(3.5\)[/tex] pounds.
3. Calculate the total cost: Multiply the cost per pound by the number of pounds.
[tex]\[
\text{Total Cost} = \text{Cost per Pound} \times \text{Number of Pounds}
\][/tex]
Here, the cost per pound is [tex]\(\$ 1.80\)[/tex] and the number of pounds is [tex]\(3.5\)[/tex].
[tex]\[
\text{Total Cost} = 1.80 \times 3.5
\][/tex]
4. Find the product:
[tex]\[
1.80 \times 3.5 = 6.30
\][/tex]
Therefore, Mrs. Tennison will pay [tex]\(\$ 6.30\)[/tex] for [tex]\(3 \frac{1}{2}\)[/tex] pounds of green beans. The correct option is:
[tex]\[
\$ 6.30
\][/tex]