Question

Please help me (again)

Katie works part-time at the Redland Riding Stable. She makes $5 an hour for exercising horses and $10 an hour for cleaning stalls. Because Katie is full-time student, she cannot work more than 12 hours per week

1. Graph two inequalities that illustrate how many hours Katie needs to work at each job if she plans to earn not less than $90 per week.

2. List 3 possible combinations of the hours that Katie can work at each job.

Answer 1

@mathmale would you please help me

Answer 2

Hello again, Dan (or do you prefer Daniel?),

this problem is much like the previous one we worked on. We have to come up with inequalities, graph them and then find areas on the graph (usually between 2 or more straight lines).

Answer 3

yes

Answer 4

Why not let e=# of hours this nice girl spends exercising horses, and c=# of hours she spends cleaning stalls.

The cap on the # of hours she can work is 12 hours.
Therefore, the inequality in question is ( )
(You fill it in.)

Answer 5

e+c=12

Answer 6

Next, our friend Katie has been dreaming about buying an expensive saddle for her pleasure riding and decides that she must earn $120 per week or more.
She earns $5 per hour exercising horses and $10 per hour cleaning stalls.

Given that she works e hours exercising horses and c hours cleaning stalls, write an inquality for the amount of money she earns.

Be sure to use the proper inequality symbol. (Not = .)

Answer 7

e+c<=12

5e+10c>=120

Answer 8

Hey, that's really good! Muy bien. What's the next step? Hint: go back and read the instructions.

Answer 9

Note my mistake: I said "$120" where I should have said "$90." Lo siento.

Answer 10

Oh i didn't notice it

Answer 11

so it would be 5e+10c>=90

Answer 12

Yes. Now we need to graph the 2 inequalities on the same set of coordinate axes. You'll get a result very much like the previous one, involving adventure and mystery books.

You up to doing that?

Answer 13

Im on it

Answer 14

But which one is x and y

Answer 15

I know that's confusing. Normally we work with x and y, but I chose other letters to represent exercising horses (e) and cleaning stables (c).
Why don't you arbitrarily let e be on the horiz. axis and c on the vertical one?

Answer 16

ok

Answer 17

Would you please draw the other line? You can copy my drawing and add to it.

Answer 18

I'll try

Answer 19

I put 4.7

Answer 20

It is something like that

Answer 21

@mathmale

Answer 22

Is it shaded like that