Answer:
1.5 weeks
Explanation:
Given
weekly
![Amount\ Left = 385.49](https://img.qammunity.org/2021/formulas/mathematics/high-school/3jldoentcju8ehvohar40t8s4wn6ka7j16.png)
![Game\ Cost = 1541.72](https://img.qammunity.org/2021/formulas/mathematics/high-school/1zu1guedlvsnbfrj5ntmzhte8rrgn22ise.png)
Required
Determine the time taken to save up
Represent the time with t
The relationship between the given parameters can be expressed as:
Amount + Earnings in t weeks = Game Cost
This gives:
![385.49 + 770.98t = 1541.72](https://img.qammunity.org/2021/formulas/mathematics/high-school/tdiy0lfn3nf8qplnz0mycmf4egq8e0obye.png)
Collect Like Terms
![770.98t = 1541.72 - 385.49](https://img.qammunity.org/2021/formulas/mathematics/high-school/guf36zi31eioba0we0tf7tprqikyotguse.png)
![770.98t = 1156.23](https://img.qammunity.org/2021/formulas/mathematics/high-school/1279sq75cbh37bjkz3vge45560rdk8vk2d.png)
Solve for t
![t = 1156.23/770.98](https://img.qammunity.org/2021/formulas/mathematics/high-school/llqj5k3owln5ttas7459asgafmm7wpkftq.png)
![t = 1.49968870788](https://img.qammunity.org/2021/formulas/mathematics/high-school/zkzh75t14pe13c5v4458nbgz4ebgpf0ph6.png)
Approximated