Question

Katie deposited $700 in a savings account and deposits an additional $50 each week. Glenn deposited $400 in his savings account at the same time, and he deposits an additional $70 each week. Let z represent the number of weeks and y be the total amount saved. What system of equations could be used to model this situation?

a) 700z + 50y = Total amount saved for Katie
b) 400z + 70y = Total amount saved for Glenn
c) 50z + 700y = Total amount saved for Katie
d) 70z + 400y = Total amount saved for Glenn

Answer 1

The system of equations that could be used to model this situation is a) 700z + 50y = Total amount saved for Katie and d) 70z + 400y = Total amount saved for Glenn.

Step-by-step explanation:

The system of equations that could be used to model this situation is:

a) 700z + 50y = Total amount saved for Katie
d) 70z + 400y = Total amount saved for Glenn

Let's break down the equations:

a) 700z + 50y = Total amount saved for Katie

This equation represents the total amount saved for Katie. The term 700z represents the initial deposit of $700, and since she deposits an additional $50 each week, the term 50y represents the amount she saves over the weeks multiplied by y (the number of weeks).

d) 70z + 400y = Total amount saved for Glenn

This equation represents the total amount saved for Glenn. The term 70z represents the initial deposit of $400, and since he deposits an additional $70 each week, the term 400y represents the amount he saves over the weeks multiplied by y (the number of weeks).