Answer:
The number of completed weeks when Natasha and Taylor will have an equal amount of saved is 8 weeks
Step-by-step explanation:
The starting amount of Taylor's savings = $10
The amount Taylor plans to save a week = $20
Therefore, the function that models Natasha's saving plan is y = 10 + 20·x
The function that models Natasha's saving plan is y = 50 + 15·x
Where;
y is the amount in savings
x is the number of completed weeks
When the amount of savings, y, of both Natasha and Taylor are equal, we have;
y for Natasha = y for Taylor
Therefore
10 + 20·x = 50 + 15·x
20·x - 15·x = 50 - 10
5·x = 40
x = 40/5 = 8
The number of completed weeks when Natasha and Taylor will have an equal amount of saved, x = 8 weeks
