Anew bag of cat food weighs 18 pounds. at the end of each day, 0.5 pounds of food is removed to feed the cats. find the 30th term, and explain what it represents.

term = 3.5 pounds

term represents the amount of dog food at the beginning of the day.

Step-by-step explanation:

1st term = ⇒

2nd term = ⇒

3rd term = ⇒

It will follow the same pattern until the value is 0.

So we can observe that in the term there are no "0.5" terms.

In the term we have 1 "0.5" term and in the term we have 2 "0.5" terms.

It is clear that the number of "0.5" terms are always 1 less than the term that we are in.

So we can write the term for the term as;

=3.5 pounds

term represents the amount of dog food at the beginning of the day.

term represents the amount of dog food at the beginning of the day.

Same with the term.

So we can say that term represents the amount of dog food at the beginning of the day.

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