Question

Alice is saving money at a constant rate. Suppose she initially has $70 saved, and after 2 months, she has $170 saved.

Which of these expresses the rate at which Alice is saving?


Select the correct answer below:



50 dollars per month



70 months per dollar



−50 dollars per month



50 months per dollar



100 dollars per month

Answer 1

50 dollars per month

Explanation:

Given

`Months = 2`

`Total = 170`

`Initial = 70`

Required

Determine the rate of savings

Suppose in a month, she saves x amount.

In 2 months, she would save 2x

When 2x is added to the initial savings, it gives the total amount saved.

So, we have:

`2x + 70 = 170`

Collect Like Terms

`2x = 170 - 70`

`2x = 100`

Divide both sides by 2

`x = (100)/(2)`

`x = 50`

Hence, she saves $50 dollars monthly