The given tables each show the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building. which table best represents a linear relationship? ' a. number of days 140 300 520 740 960 number of stories 4 8 12 16 20 b. number of days 120 240 360 480 600 number of stories 5 10 15 20 25 c. number of days 30 60 120 240 480 number of stories 2 4 6 8 10 d. number of days 90 225 400 680 960 number of stories 3 6 9 12 15

The correct answer option is B. Number of Days 120 240 360 480 600 Number of Stories 5 10 15 20 25.

Step-by-step explanation:

We are given some tables showing the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building.

We are to determine whether which table represents a linear relationship.

Table B represents a linear relationship since its ratio of number of days to number of stories completed is constant.

Number of Days    120  240  360  480  600  

Number of Stories   5      10     15    20     25

Ratio                        24    24    24    24     24

idk sry

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is