To determine the cost of 3.5 pounds of grapes when 1 pound costs [tex]$1.55, we need to set up an equation that involves equivalent ratios.
We know:
- The cost of 1 pound of grapes is $[/tex]1.55.
- We need to find the cost of 3.5 pounds of grapes.
Let [tex]\( x \)[/tex] be the unknown cost of 3.5 pounds of grapes.
We set up an equivalent ratio based on the known cost per pound and the weight in pounds:
[tex]\[
\frac{1.55}{1} = \frac{x}{3.5}
\][/tex]
This equation shows that the ratio of the cost to weight for 1 pound of grapes is equal to the ratio of the cost to weight for 3.5 pounds of grapes.
Thus, the correct equation that shows a pair of equivalent ratios to find the cost of 3.5 pounds of grapes is:
[tex]\[
\frac{1.55}{1} = \frac{x}{3.5}
\][/tex]
This correctly represents the relationship needed to solve for [tex]\( x \)[/tex].
