Question

The graph shows a proportional relationship between a person's total savings in dollars and the number of weeks they have been saving. Write a linear equation that models the savings. a) Total Savings = 100 * Number of weeks

b) Total Savings = 50 * Number of weeks
c) Total Savings = 25 * Number of weeks
d) Total Savings = 10 * Number of weeks

Answer 1

The correct equation that models the savings is Total Savings = 100 * Number of weeks (option a). The constant of proportionality is 100, since the total savings increases by 100 dollars for every week.

Step-by-step explanation:

The correct equation that models the savings is Total Savings = 100 * Number of weeks (option a).

In a proportional relationship, the equation should be in the form y = kx, where y represents the dependent variable (total savings), x represents the independent variable (number of weeks), and k represents the constant of proportionality. In this case, the constant of proportionality is 100, since the total savings increases by 100 dollars for every week.

For example, if the person has been saving for 5 weeks, the total savings would be 100 * 5 = 500 dollars.