Question

1. how are the constants of proportionality from problems 1 and 2 related to each other?
2. complete each sentence:

• to convert from gallons to pints, you can multiply the number of ____ by ____.
• to convert from pints to gallons, you can multiply the number of ____ by ____.

Explanation:

For the first blank (gallons to pints):

We know that 1 gallon is equal to 8 pints. So to convert from gallons to pints, we multiply the number of gallons by 8.

For the second blank (pints to gallons):

Since 1 gallon = 8 pints, then 1 pint = $\frac{1}{8}$ gallon. So to convert from pints to gallons, we multiply the number of pints by $\frac{1}{8}$ (or divide by 8).

Answer:

• To convert from gallons to pints, you can multiply the number of $\boldsymbol{\text{gallons}}$ by $\boldsymbol{8}$.
• To convert from pints to gallons, you can multiply the number of $\boldsymbol{\text{pints}}$ by $\boldsymbol{\frac{1}{8}}$ (or $\boldsymbol{0.125}$).