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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

Respuesta :

MrRoyal

Answer:

50 dollars per month

Step-by-step explanation:

Given

[tex]Months = 2[/tex]

[tex]Total = 170[/tex]

[tex]Initial = 70[/tex]

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:

[tex]2x + 70 = 170[/tex]

Collect Like Terms

[tex]2x = 170 - 70[/tex]

[tex]2x = 100[/tex]

Divide both sides by 2

[tex]x = \frac{100}{2}[/tex]

[tex]x = 50[/tex]

Hence, she saves $50 dollars monthly

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