Grayson is deciding between two parking garages. Garage A charges an initial fee of $8 to park plus $1.50 per hour. Garage B charges an initial fee of $4 to park plus $2.50 per hour. Let A represent the amount Garage A would charge if Grayson parks for t hours, and let B represent the amount Garage B would charge if Grayson parks for t hours. Graph each function and determine which garage would be cheaper if Grayson needs to park for 6 hours.

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

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

the answer is c 150

step-by-step explanation: