The table below shows that the number of miles driven by Travis is directly proportional to the number of gallons he used.
Gallons UsedGallons Used	Miles DrivenMiles Driven
3333	930, point, 6930.6
4343	1212, point, 61212.6
4646	1297, point, 21297.2
What is the constant of proportionality between the number of miles driven and the number of gallons used?

To find the constant of proportionality, we use the formula:

\[
k = \frac{\text{Miles Driven}}{\text{Gallons Used}}
\]

where \( k \) represents the constant of proportionality.

Let's calculate \( k \) for each pair in the table:

1. **For 33 gallons:**
   \[
   k = \frac{930.6}{33} = 28.2
   \]

2. **For 43 gallons:**
   \[
   k = \frac{1212.6}{43} = 28.2
   \]

3. **For 46 gallons:**
   \[
   k = \frac{1297.2}{46} = 28.2
   \]

Since each calculation results in the same value, the constant of proportionality \( k \) is **28.2** miles per gallon.

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Would you like more details or have any questions?

Here are some related questions to deepen your understanding:
1. If Travis uses 50 gallons, how many miles will he drive?
2. How would the constant of proportionality change if Travis’s car efficiency decreased?
3. How can you determine if a relationship is directly proportional from a table of values?
4. If another driver has a different constant of proportionality, what does that indicate?
5. How can you calculate the number of gallons needed for a given number of miles?

**Tip:** The constant of proportionality remains consistent in a directly proportional relationship, so if one value changes, the other changes at the same rate.

The table below shows that the number of miles driven by Travis is directly proportional to the number of gallons he used.
Gallons Used Miles Driven
33 930.6
43 1212.6
46 1297.2
What is the constant of proportionality between the number of miles driven and the number of gallons used?

Determine the constant of proportionality between miles driven and gallons used by Travis. Given values include 930.6 miles for 33 gallons, 1212.6 miles for 43 gallons, and 1297.2 miles for 46 gallons. This problem teaches proportionality concepts, ratios, and provides a step-by-step solution suitable for Grades 6-8.

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