Question

A. Write the equation for the relationship that has a constant of proportionality greater than 1. (Round to the nearest hundredths place)

A. y = 2.25x
B. y = 0.44x
C. y = 1.33x
D. y = 0.75x

b. Write the equation for the relationship that has a constant of proportionality less than 1. (Round to the nearest hundredths place)
A. y = 0.11x
B. y = 0.67x
C. y = 0.88x
D. y = 1.09x

Answer 1

Directly proportional relationships are represented by the equation y = kx, where k is the constant of proportionality. For a constant greater than 1, y = 2.25x exemplifies this. For a constant less than 1, y = 0.11x is an example.

Step-by-step explanation:

In mathematics, when we say two values are directly proportional, it means that as one value increases, the other value increases at a constant rate, which is described by the constant of proportionality. The equation for a linear relationship with direct proportionality takes the form of y = kx, where k is the constant of proportionality.

a. An equation that has a constant of proportionality greater than 1 is y = 2.25x, which means that for every unit increase in x, y increases by 2.25 units.

b. An equation with a constant of proportionality less than 1 is y = 0.11x, indicating that y increases by 0.11 units for every unit increase in x.