One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of 3.5 pounds of grapes?

Question

1.StartFraction 1.55 over 1 EndFraction = StartFraction x over 3.5 EndFraction
2.StartFraction 1.55 over 1 EndFraction = StartFraction 3.5 over x EndFraction
3.StartFraction 1 over 1.55 EndFraction = StartFraction x over 3.5 EndFraction
4.StartFraction x over 1.55 EndFraction = StartFraction 1 over 3.5 EndFraction

Answer 1

To find the cost of 3.5 pounds of grapes when 1 pound costs $1.55, we can set up a ratio based on the price per pound.

The cost of 1 pound of grapes is $1.55, so the equivalent ratio for 3.5 pounds can be expressed as

\[ \frac{1.55}{1} = \frac{x}{3.5} \]

where \(x\) represents the total cost for 3.5 pounds.

Thus, the correct equation is:

1. \(\frac{1.55}{1} = \frac{x}{3.5}\)

So, option 1 is the correct answer.