Question

Ms. Gibson made an initial deposit of $500, and she adds $250 to her account every month. Based on this information, which representation best shows this relationship between the total in Ms. Gibson's account, y, and the number of months that have passed, x?

A) \( y = 500 + 250x \)

B) \( y = 750 + 250x \)

C) \( y = 500 + 300x \)

D) \( y = 750 + 300x \)

Answer 1

The best representation for the relationship between the total amount in Ms. Gibson's account over time is option A: y = 500 + 250x, illustrating an initial deposit of $500 and an additional $250 per month.

Step-by-step explanation:

The relationship between the total in Ms. Gibson's account, y, and the number of months that have passed, x, is best represented by option A: y = 500 + 250x. This equation indicates that there is an initial deposit of $500 (the y-intercept) and an additional $250 is added every month (the slope). So, after x months, Ms. Gibson's total savings would be the initial deposit plus x times the monthly addition (250x).