Which system of inequalities represents the graph?

The solid line is described by the equation

... 3x +5y = 10

The shaded portion of the graph is below that line, so you expect something like

... 3x +5y ≤ 10

This matches the 1st and 3rd selections.

The steepest line has an equation like

... 5x +y = 6

The line is dashed and the shading is to the right of it, so you expect something like

... 5x +y > 6.

This matches the 2nd and 3rd selections.

The appropriate selection is the 3rd selection.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: