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vredina [299]
3 years ago
11

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 mont

h. 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?
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Answer:

The answer to your question is 10 hours.

Step-by-step 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.                                              

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