1.
a. Proportional: yes or no
b. What is constant of proportionality?
c. Write the equation:
a. Proportional: yes or no: Yes, the relationship is proportional.
b. The constant of proportionality is the number that relates the two variables in a proportional relationship.
c. The equation for a proportional relationship is y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.
I need more context to answer your question accurately. Are you referring to a specific problem or scenario?
To determine whether a relationship is proportional or not, you need to compare the ratios between the two variables in question. Here's how you can check:
a. Proportional: To determine whether a relationship is proportional, you need to analyze the ratios between the two variables. If all the ratios are equal, then the relationship is proportional. So, to answer the question, first calculate the ratio between the two variables for different values of each variable. If the ratios are equal, then the relationship is proportional, and the answer is "yes." If the ratios are not equal, then the relationship is not proportional, and the answer is "no."
b. Constant of proportionality: If the relationship is proportional, you can then determine the constant of proportionality. The constant of proportionality represents the value that relates the two variables in a proportional relationship. This constant is usually denoted by the letter "k" or "c." To find it, you can divide the value of one variable by the corresponding value of the other variable in any of the given data points.
c. Equation: In a proportional relationship, you can write the equation in the form y = kx, where "y" and "x" represent the variables involved, and "k" is the constant of proportionality. Once you find the constant of proportionality, you can substitute it into the equation. For example, if the constant of proportionality is 2, the equation would be y = 2x.