Landon earns money by washing cars. The table represents the proportional relationship between the number of days Landon worked and the amount he earned. What is the constant of proportionality for the table below?

Number of Days	1	2	3	4	5
Amount Earned ($)	16	32	48	64	80
 

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The constant of proportionality can be found by dividing the amount Landon earned by the number of days he worked. Since this is a proportional relationship, the ratio of earnings to days should be the same for all the values.

Using the data from the table:

\[
\text{Constant of proportionality} = \frac{\text{Amount Earned}}{\text{Number of Days}} = \frac{16}{1} = 16
\]

So, the constant of proportionality is **16**. This means Landon earns $16 per day.

Would you like further details or have any questions? 

Here are 5 related questions you might find useful:
1. How would the earnings change if Landon worked for 7 days?
2. What if the constant of proportionality was 20 instead of 16? How would his earnings compare?
3. Can you write an equation that expresses the relationship between the number of days and the earnings?
4. If Landon worked half a day, how much would he earn based on this constant?
5. What would happen if the constant of proportionality decreased by half?

**Tip:** In proportional relationships, the constant of proportionality tells you how much one quantity changes relative to the other. It's a powerful tool for finding unknown values!

Landon earns money by washing cars. The table represents the proportional relationship between the number of days Landon worked and the amount he earned. What is the constant of proportionality for the table below?

Number of Days: 1, 2, 3, 4, 5
Amount Earned ($): 16, 32, 48, 64, 80

Discover how to calculate the constant of proportionality using the relationship between days worked and earnings in a car washing scenario. The problem involves basic proportional relationships, and the solution shows how Landon earns $16 per day. Suitable for students in Grades 6-8.

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