Home / Assignment Help / Megan collected data about the trees in the park near her school. she determined that white oak, bur oak, ash, sycamore, and maple trees were the only trees that grew in the park. the pie chart below shows most of her data. mc022-1.jpg which label should megan add to complete her chart?

Megan collected data about the trees in the park near her school. she determined that white oak, bur oak, ash, sycamore, and maple trees were the only trees that grew in the park. the pie chart below shows most of her data. mc022-1.jpg which label should megan add to complete her chart?

Part A)

So we need the graph to pass through these points:

time = 2 and price=$14 -> (2,14)

time= 5 and price = $29 -> (5,29)

Standard form:

Ax+By = C

Let’s replace the points:

A*2+B*14=C

A*5+B*29=C

Let’s eliminate variables:

(A*2+B*14)-(A*5+B*29)=C-C

A*2+B*14-A*5-B*29=0

-3A-15B=0

-3A=15B

A=15B/-3

A=-5B

There are several numbers that verify this proportion. For
example, if B=1, A=-5 (you can try others, there is not only 1 correct answer).

So we can make this equation:

-5x+y=C

Then we can calculate C using one point:

-5*2+14=C

-10+14=C

4=C

So one of the possible equations is: -5x+y=4

(Remember there are multiple correct answers for this
item)

You can verify it with the other point:

-5*5+29=-25+29=4 ->OK

 

Part B)

Whatever you have found in Part A, you will find the same in
Part B when you convert it to function notation. All you have to do is clear y:

-5x+y=4

y=4+5x

So the equation is: f(x)=4+5x

Part C)

First of all, you have to find f(0)

f(x)=4+5x

f(0) =4+5*0=4+0=0

f(0) is ALWAYS the constant not multiplied by x.

So you know it has to cross the y axes in y=4

Now let’s put 0 as y-value:

4+5x=0

5x=0-4=-4

x=-4/5

So now you know it has to cross the x axes in x=-4/5.

So you can put those intersections in the graph and you draw
the line through those points. Labels: horizontal axes is x, and in this case represents time; vertical axes is y, and in this case represents price.

Remember there are other methods, too 🙂

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