Question

You are going to order some of your favorite cookies. If you order two boxes it will cost you $14. If you place an order for eight boxes it will cost you $26. Write an equation that represents the cost of ordering your favorite cookies.

Step 1: Decide what information represents your two points.
Hint: The points are in the format (number of boxes of cookies, cost) as these are your two variables.

Point 1: Point 2:


Step 2: Use your two points to write an equation.

Answer 1

this is alittle confusing but im guessing youre suppose to put 14 and 26 oin a numberline? so that would be why theres a point one and point two correct?
so im just gonna try and guess what the equation might be ^-^

14 devided by 2=?
26 devided by 8=?
then multiply the two answers to get the final answer.


(note im not trying to take points im just trying to help out a friend so im sorry if its wrong chika)

Answer 2

There are a multitude of ways to solve this, but to help you visualize it, we can use a graph to plot these points, and then form a line. Once we have a line, we can simply get the equation of the line to answer our question.

How do we plot the points?

We should obviously start out with a graph. We only need Quadrant I. We will let our x-axis (the horizontal axis) contain the number of boxes of cookies, and our y-axis (the vertical one) contain our prices.

We put our number of boxes on the x-axis because it is the independent variable, while the price per box goes on the y-axis because it is the dependent variable.

At this "point," we should be able to plot our numbers at the proper points. We can simply line up our "dot" (point) with the information given, so that Point 1 is (2 , 14) and Point 2 is (8 , 26). We know that information from the prompt.

Now, we simply need to draw a line that connects these 2 points.

Once we have done that, we need to remember the equation for a line. This is "y=mx+b" where "m" is our slope and "b" is our y-intercept. Our slope is going to be in a fraction with the format
`(rise)/(run)`, or the change in the y-value over the change in the x-value.

When we work this out, we will find that the equation for this is y=2x+10.

Below, I have attached an image of the graph that we should make while doing this. Note that this graph "goes by 2s." The red point represents 2 boxes for 14 dollars. The blue point represents 8 boxes for 26 dollars. The green line represents the relationship between them.