To determine how much a person will pay for 12.8 pounds of bananas at a price of [tex]$2.26 per pound, follow these steps:
1. Identify Given Information:
- Weight of bananas: 12.8 pounds
- Price per pound: $[/tex]2.26
2. Calculate the Total Cost:
Multiply the weight of the bananas by the price per pound to find the total cost before rounding:
[tex]\[
\text{Total Cost} = \text{Weight of Bananas} \times \text{Price per Pound}
\][/tex]
Substituting the given values:
[tex]\[
\text{Total Cost} = 12.8 \times 2.26
\][/tex]
Using multiplication:
[tex]\[
\text{Total Cost} = 28.928
\][/tex]
3. Round to the Nearest Cent:
To round to the nearest cent, we look at the third decimal place. If it's 5 or more, we round up. If it's less than 5, we round down. In this case, the number is 28.928.
- The third decimal place here is 8 (in 28.928), which is greater than 5, so we round up.
[tex]\[
\text{Total Cost (Rounded)} = 28.93
\][/tex]
4. Final Answer:
The price the person will pay, rounded to the nearest cent, is [tex]$28.93.
Thus, the person will pay $[/tex]28.93 for 12.8 pounds of bananas at a price of $2.26 per pound.
