To determine how many pounds of bananas cost [tex]$3.75, we can follow these steps:
1. Identify the price per pound:
From the table, we see that 1 pound of bananas costs $[/tex]0.75. This gives us a rate of [tex]$0.75 per pound.
2. Set up the equation:
We know the total cost \(C\) is the product of the price per pound \(P\) and the weight in pounds \(W\). Thus, the equation can be written as:
\[
C = P \times W
\]
Here, \(C = 3.75\) (the total cost we want to find the weight for) and \(P = 0.75\) (the price per pound).
3. Solve for the weight \(W\):
Rearrange the equation to solve for \(W\):
\[
W = \frac{C}{P}
\]
Substitute the known values into the equation:
\[
W = \frac{3.75}{0.75}
\]
4. Perform the division:
\[
W = \frac{3.75}{0.75} = 5
\]
Therefore, 5 pounds of bananas cost $[/tex]3.75.
So, the number of pounds of bananas that cost $3.75 is [tex]\( \boxed{5} \)[/tex].
