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Mathematics 20 Online
iamverynic:

Nathan earns a fixed pay of $250.25 a week for his normal 30 hours. For each additional hour he works, he receives $9.50. If he wants to earn at least $312.00 this week, how many extra hours, x, does he need to work in addition to his normal 30 hours? Select the graph of the inequality that represents the amount of hours Nathan must work to earn at least $312.00.

Laylalyssa:

@AZ

snowflake0531:

Select the graph? We need a pic then

snowflake0531:

Regardless of the graph, it's better if you know the equation first.

snowflake0531:

He wants to work and get 312 dollars this week, gets fixed 250.25, and 9.5 per extra

snowflake0531:

So, the y-intercept would be 250.25, because that's where it starts, the base of his pay

CripQUEZZ:

Ok so if he gets $250.25 in thirty hours how many hours does he need to work to get $312.00

snowflake0531:

And then the slope would be 9.5, because it depends on the x value, so 9.5x+250.25

snowflake0531:

So, there's your equation y=9.5x+250.25 And then find the graph that matches it

snowflake0531:

But, that's for the graph If you want to find x, replace y with 312

CripQUEZZ:

Wait snow cant they jus divide 312 by 9.50 to get the amount of hours then plug it into the equation right?

snowflake0531:

312 = 9.5x+250.25 9.5x=61.75 x=6.5

HaydenwH:

@iamverynic where are you? they r helping and ur not helpin urself?

snowflake0531:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @CripQUEZZ Wait snow cant they jus divide 312 by 9.50 to get the amount of hours then plug it into the equation right? \(\color{#0cbb34}{\text{End of Quote}}\) No, because there's the base line, the y intercept, of250.25

CripQUEZZ:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 \(\color{#0cbb34}{\text{Originally Posted by}}\) @CripQUEZZ Wait snow cant they jus divide 312 by 9.50 to get the amount of hours then plug it into the equation right? \(\color{#0cbb34}{\text{End of Quote}}\) No, because there's the base line, the y intercept, of250.25 \(\color{#0cbb34}{\text{End of Quote}}\) Yeah your right

snowflake0531:

Wait a sec, it says inequality, so it's not x=6.5, it's x > 6.5, since it's 'at least *> with a line at the bottom

CripQUEZZ:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 Wait a sec, it says inequality, so it's not x=6.5, it's x > 6.5, since it's 'at least *> with a line at the bottom \(\color{#0cbb34}{\text{End of Quote}}\) You mean 9.5*

snowflake0531:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 312 = 9.5x+250.25 9.5x=61.75 x=6.5 \(\color{#0cbb34}{\text{End of Quote}}\)

CripQUEZZ:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 \(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 312 = 9.5x+250.25 9.5x=61.75 x=6.5 \(\color{#0cbb34}{\text{End of Quote}}\) \(\color{#0cbb34}{\text{End of Quote}}\) Ohhh ok

CripQUEZZ:

I thought you was talking about the amount of money he gets each hour

snowflake0531:

I'm answering the question-_-, So it's at least 6.5 hours~ i-

CripQUEZZ:

Yeah sorry I read it wrong

CripQUEZZ:

@iamverynic stop ignoring this

snowflake0531:

@CripQUEZZ stop spamming

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