(2 points)

Determine the meaning of the point (9, 90).

9 represents

90 represents



Question 2
(1 point)
Determine the point for the constant of proportionality.

(
,
)

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1 answer

To determine the meaning of the point (9, 90), we need to know the context or the relationship being described. However, based on the format of your question, we can infer a general interpretation related to proportional relationships, commonly seen in math.

(9, 90):

  • 9 represents: This value can be interpreted as the independent variable (often the input or the 'x' value). For example, if we are discussing a situation where 9 represents a quantity like hours worked, students in a class, or any other measure that leads to a total.

  • 90 represents: This value is typically the dependent variable (often the output or the 'y' value). In this context, it could represent a total such as total money earned, total distance traveled, or another measure related to the first value (9).


Question 2: Regarding the constant of proportionality, this often represents the ratio between the dependent and independent variable in a proportional relationship. The point for the constant of proportionality can be determined from the equation \( y = kx \), where \( k \) is the constant of proportionality.

From the point (9, 90), we calculate the constant of proportionality \( k \) as follows:

  1. Use the relationship \( k = \frac{y}{x} = \frac{90}{9} = 10 \)

  2. Therefore, the constant of proportionality \( k \) is 10.

The point representing the constant of proportionality would be:

(1, 10)

This means that for every 1 unit increase in 9 (the independent variable), there is a corresponding increase of 10 in 90 (the dependent variable).