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

50 dollars per month

Step-by-step explanation:

Given

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:

Collect Like Terms

Divide both sides by 2

Hence, she saves $50 dollars monthly

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3