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Jon makes $12 per hour as a lifeguard and $8 per hour working at the library. This summer, he would like to make at least $500 working his two jobs. Which graph represents the number of hours he must work at each job to reach his goal? (Graphs above are the answers, show work as well please)

Jon makes $12 per hour as a lifeguard and $8 per hour working at the library. This summer, he would like to make at least $500 working his two jobs. Which graph class=

Answer :

Answer: B

Step-by-step explanation:

500/12 is around 40 and 500/8 is about 63 so the answer must be a or b, but since it must be greater than 500 or equal to it, it has to be b

Answer:

Graph B

Step-by-step explanation:

Let x be the number of hours Jon works as lifeguard and y be the number of hours he works at the library,

∵ the amount he gets for each hour in lifeguard = $ 12,

While, the amount he gets each hour in library = $ 8,

Thus, the total amount made by him = 12x + 8y

If he wants to make at least $500,

Then 12x + 8y ≥ 500

∵ related equation is,

12x + 8y = 500

if x = 0,

8y = 500 ⇒ y = 62.5

If y = 0,

12x = 500 ⇒ x = [tex]\frac{125}{3}[/tex]

That is, line that shows the inequality passes through (0, 62.5) and (125/3, 0),

Also, 12(0) + 8(0) ≥ 500 ( False )

Thus, shaded region does not contain the origin i.e. shade above the line 12x + 8y = 500.

Now, number of hours can not be negative,

i.e. x, y ≥ 0

By the above explanation,

It is clear that OPTION B is correct.

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