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

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

6/20

step-by-step explanation: