Question

Denise has $170 in her savings account and wants to save at least $540. Write an inequality to determine how much more money, d, Denise must save to reach her goal.

a) 170 + d ≥ 540
b) 540 + d ≥ 170
c) 540 + d ≤ 170
d) 170 + d ≤ 540

Answer 1

The correct inequality for the amount Denise must save to reach her goal is 170 + d ≥ 540, which corresponds to option (a).

Step-by-step explanation:

The question asks to write an inequality to determine how much more money, designated as d, Denise must save to reach her goal of at least $540. Denise already has $170 in her savings account. To find the total amount she needs to save, we add d to $170 and set that sum to be at least equal to $540. The correct inequality is:

170 + d ≥ 540.

This means the money she currently has in her savings account plus the additional amount she needs to save should be greater than or equal to $540. Therefore, the correct answer is option (a).