Autumn is working two summer jobs making $16 per hour tutoring and making $12 per hour landscaping. in a giving week she can

{13,14}

Step-by-step explanation:

Let

x ----> number of hours per week of tutoring

y ----> number of hours per week of landscaping

we know that

She can work no more than 17 hours

so

-----> inequality A

She must earn at lest $240

The term " at least" means, "greater than or equal to"

----> inequality B

If Autumn worked 3 hours landscaping

then

substitute in the inequality A and in the inequality B

Inequality A

Inequality B

The solution of the system is the interval {12.75,14]

All possible values for the number of whole hours tutoring that she must work to meet her requirements are

{13,14}

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)