Help with this question please.

The number of Pencils purchased and the cost of pencils has a proportional relationship.

Step-by-step explanation:

In order to figure out if a proportional relationship between two variable exists,

Lets take a simple example:

As

2/10 = 9/45 is a TRUE proportion.

The reason is that both fractions reduces to 1/5, and

because  10 × 9 = 2 × 45.

So

In the equation it needs to be determined whether the number of Pencils purchased and the cost of pencils represent a proportional relationship?

When we are given that:

In other words each pencil costs $0.25.

As each pencil costs $0.25, it means:

2 pencils cost $0.5, 3 pencils cost $0.75, and 4 pencils cost $1 and so on.

Thus

Cost ÷ No of Pencils Purchased = 0.25 ÷ 1 = 0.5 ÷ 2 = 0.75 ÷ 3 = 1 ÷ 4

And the ratio is same.

i.e. cost per pencil = 0.25 : 1

As all of the ratios are same, we can determine that it has a proportional relationship.

Therefore, the number of Pencils purchased and the cost of pencils has a proportional relationship.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

1,589.63 in.^3

step-by-step explanation:

i hope this you : d