Question

Which table represents a linear function?








The final cost of a sale item is determined by multiplying the price on the tag by 75%. Which best describes the function that represents the situation?



It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
It is linear because the function is continuous.
It is nonlinear because the final cost is determined by multiplying each price tag by 0.75.
It is nonlinear because the price tag and final cost columns do not have the same common difference.Which table represents a linear function?




The graphs below shows some properties of regular polygons.









When compared with the independent variable, how many of the graphs represent a linear relationship?

0
1
2
3The graph shows the increase in temperature over time in an oven.


What is the change in the y-values and x-values on the graph?

The change in the y-values is 40 and the change in the x-values is 1.
The change in the y-values is 1 and the change in the x-values is 40.
The change in the y-values is 150 and the change in the x-values is 2.
The change in the y-values is 190 and the change in the x-values is 3.
Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of change for the function graphed to the left?





In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of a?

a = 2
a = 3
a = 19
a = 35The table shows the number of songs that were downloaded and the total cost for buying the songs.


What is the rate of change for the function in the table?

2 songs for $1
$2 per song
4 songs for $1
$4 per song
In order for the data in the table to represent a linear function with a rate of change of +5, what must be the value of a?

a = 3
a = 8
a = 18
a = 33The table shows the distance traveled over time while traveling at a constant speed.



What is the rate of change in the y-values with respect to the x-values?

minutes per meter
minutes per meter
900 meters per minute
1,200 meters per minute

Answer 1

I can answer only the question that has enough information. For the others I need the tables or graphs (they weren’t included).

Answer I can give now
- The final cost = 0.75 × (tag price) is a linear function. Best choice: "It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant."

What I need to finish the rest
- Please upload the images of the tables/graphs or paste the numeric tables (x and y values). Then I’ll pick the correct multiple-choice answers.

Quick reminders so you can check yourself
- Table represents a linear function when the rate of change (slope) Δy/Δx is the same for each equal step in x (or when successive differences in y are proportional to the corresponding differences in x).
- From a graph: linear if all plotted points lie on a straight line; slope = rise/run = Δy/Δx.
- To find a missing a so the slope equals a given value, set (y2 − y1)/(x2 − x1) = given slope and solve for a.
- Units: when distance over time, slope = meters per minute (distance ÷ time).

Send the missing tables/graphs and I’ll answer the rest.