An earthworm tunnels 2 centimeters into the ground each day . the earthworm tunnels at about the same pace every day how many days will it take the earthworm to tunnel 14 centimeters

We have been given that n earthworm tunnels 2 centimeters into the ground each day. We need to figure out how many days will it take the earthworm to tunnel 14 centimeters if it continues to tunnel into the ground at the same pace.

Let us assume that it will take the earth worm x days to tunnel 14 centimeters into the ground.

Since the earth worm tunnels into the ground 2 centimeters in 1 days. Therefore, in x days, it will tunnel into the ground 2x centimeters.

We can now set up a linear equation using this information as shown below:

Therefore, it will take the earth worm 7 days to tunnel 14 centimeters into the ground.

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