Question

Taylor and Natasha are both saving money.

Answer 1

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