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?

(choices)

y = 8x + 8.6
y = 8x + 86
y = 86x + 8
y = 8x

  y = 8x + 86 . . . . . . for x = weeks after January 4

Step-by-step explanation:

Any of the models will do, depending on the definition of the variable x. It is very important to define the variables as the first step in making a model.

It is reasonable to create a model in which x represents weeks after Jan 4. In that case, the savings amount increases by 8 when x increases by 1. When x=0 (on Jan 4), the amount saved is $86, so a reasonable model is ...

  y = 8x + 86 . . . . . . . . y = savings; x = weeks after Jan 4.

a. the residual plot for model 1 has a random pattern and is a good fit for the data.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )