Answer:
[tex]m+g\leq40\\\\12m+14g\geq250[/tex]
Step-by-step explanation:
Given : Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.
Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.
He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.
Then, the system of the inequality becomes
[tex]m+g\leq40\\\\12m+14g\geq250[/tex]
Hence, the system of inequalities could be used to represent the given conditions :
[tex]m+g\leq40\\\\12m+14g\geq250[/tex]
The following system of inequalities can be used to represent the given conditions:
[tex]12m + 14g \geq 250\\m + g \leq 40[/tex]
Since one hour of mowing lawns = $12 earnings
Thus, m hours of mowing lawns = [tex]m \times \$12[/tex] earnings
Similarly,
g hours of planting gardens = [tex]g \times \$14[/tex] earnings.
Thus, his total earning per week is given by:
[tex]12m + 14g[/tex]
He wants to earn at least $250, thus we have first inequality as:
[tex]12m + 14g \geq 250[/tex]
His total working hours per week is represented as:
[tex]m + g[/tex]
He can work a maximum of 40 hours per week, thus we have second inequality as:
[tex]m + g \leq 40[/tex]
Thus, the following system of inequalities can be used to represent the given conditions:
[tex]12m + 14g \geq 250\\m + g \leq 40[/tex]
Learn more about inequalities here:
https://brainly.com/question/1256399
