Lilly wants to determine the association between her deposits and her savings account balance. She found the equation y = 75x + 100 for the line of best fit. The independent variable, x, is deposits and the dependent variable, y, is account balance. What does the slope mean in this context?

Question

A The starting savings account balance is $75.The starting savings account balance is $75.
B The starting savings account balance is $100.The starting savings account balance is $100.
C The account balance increases by an additional $75 for each deposit.
The account balance increases by an additional $75 for each deposit.
D The account balance increases by an additional $100 for each deposit.

Answer 1

In the equation \( y = 75x + 100 \), the slope is represented by the coefficient of \( x \), which is 75. This means that for each additional unit of deposits (each deposit made), the savings account balance \( y \) increases by $75.

Therefore, the correct interpretation of the slope in this context is:

C The account balance increases by an additional $75 for each deposit.