Question

some of the water features at sapphire island are periodically treated with a chemical that prevents algae growth. the directions for the chemical say to add 16 fluid ounces per 10,000 gallons of water. how do i write a linear equation in two variables that model the situation

Answer 1

The linear equation will have the form y = mx + b where

x = amount of 10K gallons of water
y = total amount of chemical mixture
m = the slope of the line
b = amount of fluid ounces added

Answer 2

The only thing you need to input is m and b

Answer 3

im so confused about what the slope is.??

Answer 4

I agree it's not obvious, but let's do it this way. Let's focus only on the essential statement of the problem.

Answer 5

"Add 16 fluid ounces of chemical for every 10,000 gallons of water"

Answer 6

You can take that statement and directly convert it to a mathematical expression.

Answer 7

You can also re-write it this way:

"For every 10,000 gallons of water add 16 fluid ounces of chemical."

Answer 8

okay........that makes more sense.

Answer 9

I'm just giving you ideas for how you can approach this.

Answer 10

thank you.

Answer 11

Try to think about it a bit more and see if you can come up with the correct expression.

Just try to focus on creating an expression for mx + b for right now.

Answer 12

y=m10+16.??

Answer 13

y and x will always be in a linear equation. It's m and b that get replaced with numbers. 10,000 should definitely be in the equation as well.

Answer 14

oh okay so y=10x+16.??

Answer 15

y = 10,000x + 16

Answer 16

Really, it depends on how the x is defined.

Answer 17

okay. thank you so much.

Answer 18

If you define x as amount of gallons of water (in tens of thousands), then you can write it as
y = x + 16

Answer 19

okay thank you. all i needed was help on the equation. now i have to graph it. i think i got it from here.

Answer 20

Good luck @jmh375

Answer 21

so I hve graphed it now i need to fine the slope and the y intercept.??

Answer 22

@Hero.

Answer 23

You already graphed it, but still don't know the slope or the y-intercept? How did you manage to graph it without that?

Answer 24

i have no clue it just told me to graph it and then it toldme to find the slope and y intercept.

Answer 25

oh im sorry no it asked me what are the slope and y intercept on the graph.

Answer 26

im sorry i read that wrong im okay now.