Question

Can someone please help me answer this question? I really need help... Solve the following problem using any method of solving systems. CHECK your solutions by substituting your coordinates into BOTH equations and simplifying. Question~ You want to plan a nutritious breakfast. It should supply at least 500 calories or more. Be sure your choices would provide a reasonable breakfast. Suppose you want to have cereal, milk, and one glass of tomato juice. Let c be the number of cups of cereal and m the number of cups of milk. The inequality 102c + 150m + 41 => 500 models the situation.

Answer 1

a) Determine three ordered pairs (c, m) that are solutions of the inequality where
0 <= c < 8 and 0 <= m < 4.

b) Graph the inequality. (Assume you can eat partial eggs and drink partial apple juices.)

Answer 2

@jim_thompson5910 @retirEEd could one of y'all help me please?

Answer 3

so you're stuck on part (a) ? or you figured that part out already?

Answer 4

Yes sir/ ma'am, part A is what I don't know what to do, part B I could figure out if I just get help with part A

Answer 5

ok let's say c = 1. So that means you have 1 cup of cereal

Plug in c = 1 and then solve the inequality for m. Tell me what you get

Answer 6

0 <= 1 < 8
is that the right way to replace c?

Answer 7

I meant in \[\Large 102c + 150m + 41 \ge 500\]

Answer 8

Oh so..
102(1)+150m+41≥500?

Answer 9

yep, now solve for m

Answer 10

119/50?

Answer 11

119/50 = 2.38

so you should find that

m >= 2.38

Answer 12

the restrictions on m are that `0 <= m < 4`

so together we know

`0 <= m < 4` and `m >= 2.38`

you can pick any number for m that makes BOTH of the inequalities shown above to be true

Answer 13

for example, you can pick m = 3 since it makes `m >= 2.38` true. Three is larger than 2.38

m = 3 also makes `0 <= m < 4` true because 3 is between 0 and 4

Answer 14

There are infinitely many values of m to pick here

Answer 15

oh ok, so (3,4) would be a ordered pair for part A?

Answer 16

does 4 have to be one of the numbers in the ordered pairs?

Answer 17

well recall that we made c = 1

so the first coordinate should be 1

Answer 18

IF you picked m = 3, then one of the solutions would be (1,3)

Answer 19

oh ok... how would I get the other two ordered pairs?

Answer 20

repeat the whole process over again but pick another value of c, say c = 2

Answer 21

you can do this just as long as c is between 0 and 8 (excluding 8)

Answer 22

oh ok, and the other number can't be more than 4?

Answer 23

or smaller than 0

based on the inequality 0 <= m < 4

Answer 24

102(2)+150m+41≥500 --- M>= 1.7 --- m=2 -- Ordered pair = (2,2)

102(5)+150m+41≥500 --- M>=0.34 --- m=1 -- ordered pair=(5,1)

Answer 25

@jim_thompson5910 is that the right way?

Answer 26

let me check

Answer 27

ok

Answer 28

I agree with the first one, but the second one I'm getting m >= -0.34

I would use c = 3 instead of c = 5

Answer 29

okay so,
102(3)+150m+41≥500 -- M>= 1.02 --- m= 3-- ordered pair = (3,3) ?

Answer 30

much better

Answer 31

so 3 solutions, of infinitely many, could be

(1,3)
(2,2)
(3,3)

Answer 32

okay!! thank you sooo very much!! you're amazing!!

Answer 33

you're welcome