Question

The inequality below represents h, the number of hours Ellie need to work this week to earn at least $360 by the end of the month. 12h+240> 360 What is the maximum number of hours Ellie needs to work this week to earn at least $360 by the end of the month?

Answer 1

The answer to your question is 10 hours.

Explanation:

Inequality 12h + 240 > 360

Solve the inequality as if it was an equation

12h > 360 - 240

12h > 120

h > 120 / 12

h = 10 hours

Let's evaluate some number of hours

If h = 3 12(3) + 240 > 360

36 + 240 > 360

276 > 360 Incorrect, she needs to work more

than 3 hours

If h = 5 12(5) + 240 > 360

60 + 240 > 360

300 > 360 Incorrect, she needs to work more

than 5 hours

If h = 7 12(7) + 240 > 360

84 + 240 > 360

324 > 360 Incorrect she needs to work more

than 7 hours

If h = 11 12(11) + 240 > 360

132 + 240 > 360

372 > 360 Correct, she needs to work at least

10 hours.