Answer: There is [tex]6\frac{2}{3}\ cups[/tex] needed for 5 batches.
Step-by-step explanation:
Since we have given that
Number of batches of the dressing she plans = 3
Number of vegetable oil she needed for this = 4 cups
We need to find the number of cups of vegetable oil is needed for 5 batches.
For this we will use "Unitary Method" :
For 3 batches of dressing, Number of cups of vegetable oil = 4
For 1 batch of dressing, Number of cups of vegetable oil is given by
[tex]\frac{4}{3}[/tex]
For 5 batches of dressing, Number of cups of vegetable oil is given by
[tex]\frac{4}{3}\times 5\\\\=\frac{20}{3}\\\\=6\frac{2}{3}\ cups[/tex]
Hence, there is [tex]6\frac{2}{3}\ cups[/tex] needed for 5 batches.