Question

@TheSmartOne please
Sally has only nickels and dimes in her money box. She knows that she has less than $20 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y?

Draw a dashed line to represent the graph of 5x + 10y = 2000, and shade the portion above the line for positive values of x and y.
Draw a dashed line to represent the graph of 10x + 5y = 2000, and shade the portion above the line for positive values of x and y.

Answer 1

I think it is C

Answer 2

@TheSmartOne please help

Answer 3

@sleepyjess please help

Answer 4

x is number of nickels and we know nickels are .05 dollars (also called 5 cents-whatever)
y is number of dimes and we know dimes are .10 dollars (also called 10 cents-whatever)
So anyways I'm going to use dollars here so I can have the same units as the 20 dollars on the other side the equation.
So we know .05x+.10y=20

Answer 5

you can get rid of the decimals by multiplying both sides by 100

Answer 6

resulting in one the equations given above

Answer 7

so it is 5x+10y=20

Answer 8

not exactly

Answer 9

you multiply one side by 100

Answer 10

but not the other

Answer 11

so its 5x+.10=20

Answer 12

That is actually getting a little worse than before.

Answer 13

im lost

Answer 14

You multiplied the left hand side by 100 but you did not multiply the 20 by 100

Answer 15

oh so it is
5+.10=2000

Answer 16

Your equation that you first typed was almost correct
All I said was that you needed to multiply the other side by 100 as well
But now you are giving an equation that doesn't have x and y and for some reason you still have .1 instead of 10

Answer 17

We had initially .05x+.10y=20

Answer 18

multiply both sides by 100

Answer 19

5x+10y=2000

Answer 20

100(.05x)+100(.10y)=100(20)

Answer 21

yes!

Answer 22

and that is it

Answer 23

now you are actually given that 5x+10y will amount to something less than 2000

Answer 24

correct?

Answer 25

true but can it be equal to also

Answer 26

so instead of a equal sign by a less than sign

Answer 27

well it doesn't say less than or equal to 2000

Answer 28

it says less than

Answer 29

5x+10y<2000

Answer 30

we could actually simplify this equation more but your choices look like they do not do that

Answer 31

oh ok but all of the answer choices show = signs

Answer 32

yeah they are telling you how to graph 5x+10y<2000

Answer 33

we need the less than sign to know which part of the graph to shade and to know if we have a broken line or a solid line

Answer 34

it is broken and below the line right

Answer 35

Sally has only nickels and dimes in her money box. She knows that she has less than $20 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y?

Draw a dashed line to represent the graph of 5x + 10y = 2000, and shade the portion above the line for positive values of x and y.
Draw a dashed line to represent the graph of 10x + 5y = 2000, and shade the portion above the line for positive values of x and y.
Draw a dashed line to represent the graph of 5x + 10y = 2000, and shade the portion below the line for positive values of x and y.
Draw a dashed line to represent the graph of 10x – 5y = 2000, and shade the portion below the line for positive values of x and y.

Answer 36

if there was actually an equal sign we would have a solid line
but we have no equal sign in 5x+10y<2000 so we definitely know the line is broken

Answer 37

yep

Answer 38

so I think you said choice C at the very get go

Answer 39

so the answer would be the third choice or C

Answer 40

and that would be correct

Answer 41

thankyou

Answer 42

np