On February 2nd, Jordan is going on a class trip to Washington D. C. He is saving his weekly allowance to use as spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week, and he records the total amount of money he has saved in the table below.

Week January 4 January 11 January 18 January 25 February 1
Total $ Saved $86 $94 $102
Which equation below is a linear model of the data presented in the table?
y = 8x + 8.6
y = 8x + 86
y = 86x + 8
y = 8x

Step-by-step explanation:

Data Modeling

We have a dataset and we want to produce a linear model of it. Considering the variable x as the number of weeks since Jordan started to record his earnings, and y the total amount of money he saved, then each pair (x,y) coming from the table will help us to find the linear model.

There are three points to start from (0,86) (1,94) (2,102)

Since a line can be defined by using only two points, we'll use the first two points and verify the model with the third point

The linear model has the form

The first point (0,86) is used

It follows that b=86. The model changes to

Now we use the second point (1,94)

Solving for m

The equation that models the situation is

Let's test the third point for x=2

The model is correct since the third point could be determined with the model

for the points

step-by-step explanation:

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