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The table below shows the cost of bananas at a local grocery store.
\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{Banana Prices} \\
\hline \begin{tabular}{c}
Weight of Bananas \\
(pounds)
\end{tabular} & \begin{tabular}{c}
Cost \\
(\[tex]$)
\end{tabular} \\
\hline 1 & 0.75 \\
\hline 2 & 1.50 \\
\hline 3 & 2.25 \\
\hline 4 & 3.00 \\
\hline $[/tex]?[tex]$ & 3.75 \\
\hline
\end{tabular}

How many pounds of bananas cost [tex]$[/tex]\[tex]$3.75$[/tex][/tex]?

Sagot :

GinnyAnsweridn
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].
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