To find out how many months it will take Kiera to reach her savings goal, we can set up the following equation:
- Start with her current balance: $174.
- Each month, she adds $84 to her savings.
- Let \( x \) be the number of months she saves.
The equation to find out when her balance will reach $1,350 is:
\[ 174 + 84x = 1350 \]
Now, we'll solve for \( x \):
- Subtract 174 from both sides:
\[ 84x = 1350 - 174 \] \[ 84x = 1176 \]
- Divide both sides by 84:
\[ x = \frac{1176}{84} \]
Now, perform the division:
\[ x = 14 \]
So, it will take Kiera 14 months to reach her goal of $1,350.
The answer is 14 months.