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Linear Inequalities help for Applied Math:

When I try questions similar to this I seem to be getting them wrong, so any explanation you could give me would be very appreciated!

Linear Inequalities-Applied Math: Topic D a) Elio is the coach of a women’s softball team made up of 9 players. He wishes to purchase
updated batting helmets and baseball bats for the players. When he goes and visits a sporting
goods retailer, he sees that they sell batting helmets for \$60 per helmet and baseball bats for \$95
a bat. Elio knows that his budget is no more than \$1500 to spend on new equipment in total.
However, he wants to know how many batting helmets and baseball bats he should purchase for
his team with the money that he does have. Your job is to write a linear inequality that represents this situation. Let x represent the number
of batting helmets and y represent the number of baseball bats. Which option below is the correct linear inequality for this problem? {(x, y) | 60x + 95y 2 1500, XEW, yEW}
{(x, y) | 60x + 95y S 1500, XEW, yeW}
{(x, y) | 95x + 60y 2 1500, XEW, yeW}
{(x, y) | 95x + 60y S 1500, XEW, yeW} 9'99”!” b) Now, consider a similar situation, but instead, Elio is now the coach of a team of 10 players.
However, all the information ﬁom above is still the same. But this time you want to use your
inequality to graphically model the situation. Determine, from the options below, a solution to meet the needs of the team that is
reasonable. a) Elio could purchase 9 batting helmets and 10 baseball bats for his team for a total of \$1490.
This is the most reasonable because it provides every player with a helmet for safety and as
many baseball bats as Elio is able to afford. b) Elio could purchase 9 batting helmets and 11 baseball bats for his team for a total of \$1495.
This is the most reasonable because it provides every player with a helmet for safety and as
many baseball bats as Elio is able to afford. c) Elio could purchase 10 batting helmets and 9 baseball bats for his team for a total of \$1455.
This is the most reasonable because it provides every player with a helmet for safety and as
many baseball bats as Elio is able to afford. d) Elio could purchase 10 batting helmets and 10 baseball bats for his team for a total of \$1500.
This is the most reasonable because it provides every player with a helmet for safety and as
many baseball bats as Elio is able to afford.

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