Answer: C. [tex]t+r\leq 25[/tex]
[tex]25t+12r\geq 200[/tex]
Step-by-step explanation:
If 't' represents the number of hours Joanne tutors and 'r' represents the number of hours she works as a receptionist.
Then the total hours she can work=t+r
Since she can work up to 25 hours.
Thus [tex]t+r\leq 25[/tex]
If she earns $25 per hour by tuition and $ 12 per hour by working as a receptionist .
Then her total earning =$[tex]25t+12r[/tex]
Since she must earn $200.
Then [tex]25t+12r\geq 200[/tex].
Therefore, the required system of inequality will be
[tex]t+r\leq 25[/tex]
[tex]25t+12r\geq 200[/tex]
Answer: The correct option is
[tex](C)~t+r\leq 25,\\\\25t+12r\geq200.[/tex]
Step-by-step explanation: Given that Joanne works two jobs to pay for college.
Let, t and r represents the number of hours she tutors and number of hours she works as a receptionist.
The, the total number of hours she work = t + r.
Since she can work up to 25 hours per week, so the total number of hours she work is less than or equal to 25.
Therefore, we can write
[tex]t+r\leq 25.[/tex]
Now,
Joanne earns $25 per hour through tutoring, so the amount of money she earn tutoring = $25t,
and
she earn $12 working as a receptionist, so the amount of money she earn as a receptionist = $12r.
Since she earn at lest $200 per week, so the total earning of Joanne per week will be greater than or equal to $200.
Therefore, we can write
[tex]25t+12r\geq 25.[/tex]
Thus, the required system of inequalities representing this scenario is
[tex]t+r\leq 25,\\\\25t+12r\geq200.[/tex]
Option (C) is correct.
