Question

PLEASE HELP. WILL FAN, MEDAL, AND LEAVE TESTIMONY
A doctor's office schedules 15-minute appointments and half-hour appointments for weekdays. The doctor limits these appointments to, at most, 30 hours per week. Write an inequality to represent the number of 15-minute appointments, x, and the number of half-hour appointments, y, the doctor may have in a week. Show all work.

Answer 1

@Hero @nickhunter172

Answer 2

30*60=1800 (to set it equal to minutes.)

Any combination can equal 1800 minutes, so to find an inequality, you have to set the number of fifteen minute and 30 minute ones less than or equal to 1800 minutes.

Let x equal # of 15 minute appointments. Let y equal the # of 30 minute appointments.

Therefore \[15x+30y \le 1800\]

Hopefully that's right.

Answer 3

Yeah that looks correct

Answer 4

Awesome. If you want to use hours, you can also use \[0.25x +0.5y \le 30\]

Answer 5

Alrighty, wanna help me with my assignment? ;)

Answer 6

@nickhunter172

Answer 7

Thanks again for all of your help, I really do appreciate it.

Answer 8

Yeah, sure. ;)

Answer 9

You are the most amazing person alive!

Answer 10

Activity 2: Graphing
A juice bottling machine fi lls 1200 bottles per minute.
• Graph the number of bottles fi lled versus the time (in minutes) the machine runs.
• Is this model a direct variation? If so, what is the constant of variation?

Answer 11

Ignore the question marks, all of it is there.

Answer 12

@nickhunter172

Answer 13

Well, it is a direct variation, and the CoV (slope) is 1200.
If you want to graph, then just graph y=1200x.
Or, if you want seconds, y=60x.

Answer 14

How do I graph that though?

Answer 15

@satellite73 @amistre64

Answer 16

@nickhunter172

Answer 17

Well, do you know how to graph?

Answer 18

y=1200x is very nearly a straight line.

Answer 19

Which one do you recommend graphing to get a better grade?

Answer 20

The problem says minutes, so I'd go with y=1200x, probably.

Answer 21

Like that?

Answer 22

Yes, if you're going with minutes.

Answer 23

Okay :)

Answer 24

Activity 3: Analyzing
Suppose you manage a juice factory. One of your machines fi lls 850 bottles
per minute. Each day it takes 30 min to get the machine started after an hour
for maintenance.
• Graph the number of bottles fi lled as a function of time that the
machine runs.
• Find the domain, range, and y-intercept of the graph. Interpret
these numbers.
• Write an equation for your graph.

Answer 25

@nickhunter172

Answer 26

i guess this assumes it runs 24/7 except for maintenance and warmup?

Answer 27

I guess so

Answer 28

@nickhunter172

Answer 29

Can you look at this by any chance and solve any of these problems???

Answer 30

whoops wrong file, you can check that if you'd like, thats my work for the problem I was asking you

Answer 31

Here's the right one.