Back to Tutor Intake Assessment: Construct a function to model a linear relationship between two quantities

8.F.B.4 Tutor Intake -- Constructing Linear Function Models

This short check helps your tutor see where to start. Work each problem on
your own, without a calculator. If you are not sure, give your best try —
every answer helps your tutor plan your first few sessions.

Grade 8·7 problems·~8 min·Common Core Math - Grade 8·container·8-f-b-4

Work through problems with immediate feedback

Concepts

"A car wash charges a $6 setup fee plus $9 per car washed." In the
equation y = mx + b modeling the total cost y for x cars washed,
which value is m and which is b?

m = 9 (the amount that changes per car), b = 6 (the fixed fee).

m = 6 (the amount mentioned first), b = 9 (the amount mentioned second).

m = 6 and b = 9, because the setup fee is the rate and the per-car charge is fixed.

There is not enough information to tell which is m and which is b.

Procedures

The table below shows total cost (y) for hours of a service (x):

x: 0, 1, 2, 3
y: 20, 32, 44, 56

What is the rate of change?

A linear function passes through the points (2, 10) and (6, 26).
What is its rate of change?

The table below shows the amount of water (in gallons) in a tank
over time (in hours):

x: 0, 1, 2, 3
y: 200, 185, 170, 155

What is the initial value of this function?

The table below shows the total cost of a gym membership after
several months:

x (months): 3, 5, 7, 9
y (total cost): 155, 225, 295, 365

What is the initial value of this function?

You're viewing 2 of 3 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account

0 of 5 answered

Answer all problems to submit.

Was this practice set helpful?

Report a problem with this page