Question

A proportional relationship is graphed on a coordinate plane. The point (4, 10) is on the graphed line. Lynn said, "If x=4 and y=10, then the constant of proportionality is 6."

A) Lynn is correct; the constant of proportionality is 6.
B) Lynn is incorrect; the constant of proportionality is not 6.
C) Lynn is correct; the constant of proportionality is 2.5.
D) Lynn is incorrect; the constant of proportionality cannot be determined from this information.

Answer 1

Lynn is incorrect; the constant of proportionality is not 6.

Step-by-step explanation:

Lynn is incorrect; the constant of proportionality is not 6.

In a proportional relationship, the constant of proportionality represents the ratio between the dependent and independent variables. To find the constant of proportionality, we can use the formula y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality. In this case, we have the point (4, 10) on the graphed line. Plugging in the values, we have 10 = 4k. Solving for k, we find that k = 10/4 = 2.5.

Therefore, the correct answer is B) Lynn is incorrect; the constant of proportionality is not 6.