a. Proportional: yes or no
b. What is the constant of proportionality?
c. Write the equation:
In order to answer these questions, we need a specific scenario or context. Can you provide more information about the situation?
In order to determine if a relationship is proportional, we need more information. Could you provide the context or the given data for this question?
Once we have the necessary information, we can proceed to calculate the constant of proportionality and write the equation.
To determine if a relationship is proportional, we can check if it follows the form y = kx, where y represents the dependent variable, x represents the independent variable, and k represents the constant of proportionality.
a. To determine if the relationship is proportional, we need more information. Do you have a set of values for x and y? If so, we can examine if y/x is constant for each pair of values. If the ratio is constant, then the relationship is proportional, and the answer to part a would be "yes."
b. If we have determined that the relationship is proportional, we can find the constant of proportionality (k) by taking any pair of values for x and y and dividing y by x. This will give us the same value for all pairs of values.
c. To write the equation for a proportional relationship, we can use the equation y = kx, where k is the constant of proportionality. Substitute the value of k that we obtained in part b into the equation to form the final equation for the proportional relationship.