1) The Inequalities for Tammy and Keith are respectively; For Tammy: 10x + 5y > 200 and for Keith: 12x + 3y > 180
2) The possible combination of the number of lawns they could have each mowed and the number of yards they could have raked are;
(11, 17), (14, 5), (16, 0), (18, 2)
Tammy earns $10 for each lawn mowed.
Tammy earns $5 for each yard raked.
We are told that She wants to earn more than $200 from her part-time jobs. Thus, the inequality for Tammys would be;
10x + 5y > 200
Keith earns $12 for each lawn mowed
Keith earns $3 for each yard raked.
We are told that Keith wants to earn more than $180 for each part time job. Thus, the inequality is;
12x + 3y > 180
B) To know the possible combination of the number of lawns they could have each mowed and the number of yards they could have raked, i have drawn a graph of both inequalities and the possible points from there are;
(11, 17), (14, 5), (16, 0), (18, 2)
The complete question is;
Tammy and Keith each work two part-time jobs in the summer mowing lawns andraking yards . Tammy earns $10 for each lawn she mows and $5 for each yard sherakes . She wants to earn more than $200 from her part-time jobs . Keith earns $12 for each lawn he mows and $3 for each yard he rakes. He wants to earn more than $180 for each part time job.
A) Write a system of Inequalities to model the number of lawns they each mow (x) and the number of yards they each rake.
B.) What is a possible combination of the number of lawns they could have each mowed and the number of yards they could have raked? Explain how you chose the combination and why you know that combination is correct.
Read more about Inequalities at; https://brainly.com/question/25275758
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