The latin club charted a bus to travel to and participate in a state competition. the cost for each adult to ride the bus was $25 and the cost for each student to ride the bus was $15.

a total of 17 people rode the bus. the total paid for the bus was $305.

let a represent the number of adults and s represent the number of students.

finish the equations below to represent the system and then solve.

25

15

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.