Math  /  Algebra

QuestionArianna is working two summer jobs, washing cars and tutoring. She must work nc less than 10 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours washing cars, ww, and the number of hours tutoring, tt, that Arianna can work in a given week.

Studdy Solution

STEP 1

1. Arianna is working two jobs: washing cars and tutoring.
2. The variable w w represents the number of hours spent washing cars.
3. The variable t t represents the number of hours spent tutoring.
4. Arianna must work no less than 10 hours in total between both jobs in a week.

STEP 2

1. Define the relationship between the variables.
2. Write an inequality to represent the situation.

STEP 3

Define the relationship between the variables. Since w w is the number of hours washing cars and t t is the number of hours tutoring, the total number of hours worked is w+t w + t .

STEP 4

Write an inequality to represent the situation. Since Arianna must work no less than 10 hours, the inequality is:
w+t10 w + t \geq 10
This inequality represents the possible values for the number of hours Arianna can work in a given week.

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