Question

Maria is saving money her parents gave her an amount to starch and since then she's been putting back a fixed amount of each week after six weeks Tina has a total of $82 of her own savings in addition to the mount her parents gave her 14 weeks from the start of a process Lena has $118 using ask for the number of weeks and Y for the amount in savings construct a linear function that describes the relationship between the number of weeks and the amount in savings.

Answer 1

To construct the linear function that describes the relationship between the number of weeks and the amount in savings, define Y as the amount in savings and X as the number of weeks. Use the given information to create equations and solve for Y. The linear function is Y = 200 - X.

Step-by-step explanation:

To construct the linear function that describes the relationship between the number of weeks and the amount in savings, we need to define the variables. Let Y represent the amount in savings and X represent the number of weeks.

From the given information, we know that after 6 weeks, Tina has a total of $82 in savings, including the amount her parents gave her. This means that after 6 weeks, she has $82 - the amount her parents gave her. This can be represented by the equation: Y = 82 - Y.

After 14 weeks, Lena has $118 in savings, including the amount her parents gave her. This means that after 14 weeks, she has $118 - the amount her parents gave her. This can be represented by the equation: Y = 118 - Y.

Combining these equations, we get: 82 - Y = 118 - Y. Solving for Y, we get Y = 200.

Therefore, the linear function that describes the relationship between the number of weeks (X) and the amount in savings (Y) is: Y = 200 - X.