Question

Mary is saving money for college expenses. She saves the same amount each month. She saves the same amount each month. The table shows the amount of money Mary has saved after 4 and 7 months. Which statements about the this situation are true and support the relationship as being proportional? Select all that apply.

A. If graphed on the coordinate plane, the values in the table fall on a line that passes through the origin.
B. The table of values of the ratios in the table, total amount of savings, to number per months, are equivalent.
C. A constant of 20$ can be multiplied by by the number of months to fimd the amount in the account.
D. A constant value of 20$ can be multiplied by the number of months to find the amount in the account.
E. The table of values shows that 60$ is added to the account each month.

Answer 1

Mary's savings show a proportional relationship because the values fall on a line passing through the origin, the ratio of total savings to months is constant, and multiplying the number of months by $20 gives the total savings. Statements A, B, and D support the proportional relationship.

Step-by-step explanation:

The question at hand involves understanding whether Mary's savings for college expenses show a proportional relationship. Let's address the statements given:

A. If graphed on the coordinate plane, the values in the table fall on a line that passes through the origin. This suggests that there is a direct proportional relationship between the number of months and the total amount saved, as a proportional relationship graph passes through the origin (0,0).

B. The table of values of the ratios, total amount of savings to number per months, are equivalent. This is a key feature of proportional relationships; the ratio or rate remains constant.

D. A constant value of $20 can be multiplied by the number of months to find the amount in the account. This implies Mary saves $20 every month, which again points to a proportional relationship as there is a constant rate of change.

Options A, B, and D are correct and support that Mary's savings follow a proportional relationship. Statement C is a duplicate of Statement D and E is incorrect as it does not specify a consistent monthly amount, nor is it relevant to the proportional relationship criteria.