Final answer:
The unit rate of raisins to peanuts in the given ratio 3:4 is 3/4, or 0.75 when expressed as a decimal.
Step-by-step explanation:
Understanding Unit Rates in Ratios
The question asks for the conversion of the ratio of raisins to peanuts into a unit rate. The given ratio is 3 cups of raisins to 4 cups of peanuts. To express this as a unit rate, we want to find out how many cups of raisins are there per cup of peanuts. This means we need to determine the ratio of raisins to 1 cup of peanuts.
To do this, we divide the number of cups of raisins by the number of cups of peanuts, which is 3 ÷ 4. This fraction simplifies to 0.75, or 3/4, meaning there are 0.75 cups of raisins for each cup of peanuts.
In fraction form, the unit rate is 3/4. In decimal form, the unit rate is 0.75.