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Mathematics 27 Online
rootbeer003:

Help represent and accuracy with work sample

rootbeer003:

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rootbeer003:

in any way, can you HELP me represent what i need to do to solve this in graph form, etc

rootbeer003:

@Ultrilliam @Elsa213

rootbeer003:

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rootbeer003:

"use models, pictures, diagrams and/ or symbols to represent and solve the task situation and select an effective strategy to solve the task"

rootbeer003:

It would be really nice if someone could help me through this

563blackghost:

You would graph this in slope intercept form. Why? You are given a height at the start of the experiment, and want to see the growth each day (it increases at a constant 3 inches a day). So we write the equation in the following format: \(\large\bf{y=mx+b}\) \(\bf{b=y-intercept}\) \(\bf{m=slope}\) `Variety A was 12 inches tall when planted` This is the start, or 0. So your point is `(0,10)` this is your y-intercept. `...and grow 6 inches per day`. It increases by 6 units each day, this is your rate. How would you write this in `y=mx+b` format?

rootbeer003:

Hmmm, y = 12x + 6 ?

563blackghost:

mm not quite. Remember above i stated that `12 inches` was the given height on day 0. So this means that `12` is your `y-intercept` so it is `b` in `y=mx+b`. This means that `6` is `m` because it is the rate it is growing at `(being 6 inches each day)`. So your equation will be written as: \(\bf{y=6x+12}\) U understand?

rootbeer003:

Ohhh... ok ok ya i see

563blackghost:

Okie nice cx So how would you write `Variety B was planted the same day (remember day 0), was 30 inches tall and grows 3 inches each day` in `y=mx+b`?

rootbeer003:

y = 3x + 30

563blackghost:

Nice!

rootbeer003:

:3

563blackghost:

Now we have this algebraic already. Now we graph it. To graph this we first plot the y-intercept onto a graph, and then apply the rate. (you can use desmos.com if you'd like)

rootbeer003:

Ok one sec (:

rootbeer003:

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rootbeer003:

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563blackghost:

okie nice cx We want to apply both equation to see what day they will meet. https://www.desmos.com/calculator/u5eqslbeqw

rootbeer003:

(6,48)

563blackghost:

Yes. So the day they both have the same height is the 6th day with the same height of 48 inches cx

rootbeer003:

ahh thanks so much.... u really helped me ((:

563blackghost:

No problem XD

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