Members of a school boosters club want to sell at least 10 school jackets and at least
21 caps during a fundraiser to cover their regular club expenses. The club will make $14
for every jacket sold and $2 for every cap sold. The club also wants the total amount of
money earned to be at least $300.
Part A Write a system of inequalities that shows how many jackets and caps the club
members need to sell to meet the conditions described above. Let x represent the
number of school jackets sold and let y represent the number of caps sold.
Part B Graph the system of inequalities from Part A, shading in the region that
represents the possible solutions to the system of equations. Locate and label the
point b 14 , 35 g on the graph.
Part C Will the club meet its goal of earning $300 if it sells 14 jackets and 35 caps?
Explain how you know. How much above or below its goal will the club be?
3 answers
x >= 10
y>= 21
14x + 2y >= 300 (for part C just substitute here)
so.. you have to graph
x = 10
y = 21
14x + 2y = 300