Question

find each unit rate. determine which is lower.
ingredient c: $\frac{1}{7}$ cup for $\frac{5}{6}$ serving or ingredient d: $\frac{1}{4}$ cup for $\frac{4}{5}$ serving.
the unit rate for ingredient c is \boxed{} cup per serving.
the unit rate for ingredient d is \boxed{} cup per serving.
ingredient (select) \downarrow has the lower unit rate.

Explanation:

Step1: Calculate unit rate for C

Unit rate = (Cups) / (Servings). For C: $\frac{1/7}{5/6} = \frac{1}{7} \times \frac{6}{5} = \frac{6}{35}$

Step2: Calculate unit rate for D

For D: $\frac{1/4}{4/5} = \frac{1}{4} \times \frac{5}{4} = \frac{5}{16}$

Step3: Compare the rates

Convert to decimals: $\frac{6}{35} \approx 0.171$, $\frac{5}{16} = 0.3125$. So $\frac{6}{35} < \frac{5}{16}$.

Answer:

The unit rate for Ingredient C is $\boldsymbol{\frac{6}{35}}$ cup per serving.
The unit rate for Ingredient D is $\boldsymbol{\frac{5}{16}}$ cup per serving.
Ingredient $\boldsymbol{C}$ has the lower unit rate.