Question

Sarah plans to spend more than 20 hours painting this week. She paints for the same number of hours every weekday (Monday through Friday), and an additional 5 hours on the weekend. Describe the number line you would use to show the possible number of hours that Sarah paints every weekday.

Answer 1

Explanation:

Given the following :

Number of hours Sarah intends to spend painting > 20 hours

Let number of hours spent Painting on weekdays = x

Number of hours spent painting on weekends = x + 5

Possible number of hours spent painting every weekday:

weekdays = 5

Weekend = 2

5 * x + (2 * (x+5)) > 20

5x + (2x + 10) > 20

7x + 10 > 20

7x > 20 - 10

7x > 10

x > 10/7

x > 1.428

Hence, Sarah intends to piant for more than 1.43 hours every weekday.