Colton gave out a survey to some students in his school about their favorite color. 470 of those surveyed said their favorite color was blue. If 94% of the students surveyed said their favorite color was blue, how many students were surveyed in total?

500

Step-by-step explanation:

Convert percent to decimal:

94%=

100

94

=0.94

Move decimal 2 places to the left

Multiplying the decimal by the whole gives us the part:

0.94x=

0.94x=

470

0.94

0.94x = 0.94

470

Divide both sides by 0.94x=

500

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