Question

1. kai has $65 in her savings account. her friend emma has $119 in her savings account. kai plans to add $23 per week to her account. emma plans to add $14 per week. how much money will each friend have after 6 weeks? 10 weeks?

Explanation:

Step1: Define Kai's savings formula

Let $w$ = number of weeks. Kai's total savings: $65 + 23w$

Step2: Define Emma's savings formula

Emma's total savings: $119 + 14w$

Step3: Calculate Kai's savings at 6 weeks

Substitute $w=6$: $65 + 23\times6 = 65 + 138 = 203$

Step4: Calculate Emma's savings at 6 weeks

Substitute $w=6$: $119 + 14\times6 = 119 + 84 = 203$

Step5: Calculate Kai's savings at 10 weeks

Substitute $w=10$: $65 + 23\times10 = 65 + 230 = 295$

Step6: Calculate Emma's savings at 10 weeks

Substitute $w=10$: $119 + 14\times10 = 119 + 140 = 259$

Answer:

After 6 weeks: Kai has $\$203$, Emma has $\$203$
After 10 weeks: Kai has $\$295$, Emma has $\$259$