Paisley and her children went into a restaurant where they sell hamburgers for $6.50 each and tacos for $4 each. Paisley has $80 to spend and must buy a minimum of 14 hamburgers and tacos altogether. If x represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.

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

step-by-step explanation:

answer choice a

step-by-step explanation:

since there are 30 students, we must use two digit numbers that are between 00 and 100. we must then divide the 100 by the 30 to give the total amount of numbers per person. 100/30 gives 3 with a remainder of 10. so person 0 gets 00-02, person 1 gets 03-05, person 2 gets 06-08, person 3 gets 09-11. this makes person 4, drusilla, get 12-14. when you go across the number line using 2 digit numbers, drusilla is picked 4th.