MFM1P1
Name: _______________
Unit 5 Relations Assignment – Your Story
After spending the unit learning about patterns and how they relate to linear relations, it’s time for you
to show you know what to do!
Story
What is the story you will be telling? You can pick any topic you wish, as long as the story is about linear
increasing or decreasing for something in real life.
You have $1000 in your bank account. Every month, you decide to spend $100 on stuff. Right now, you’re not
working. So, you don’t put any new money in. Are you going to have enough money to last you the entire year?
Table of Values
Now that you have your story, complete the table of values. Note: You may need to find the first differences!
Number of Months (x)
1
2
3
4
5
6
Money in Account (y)
900
800
700
600
500
400
First Differences
800 – 900 = -100
700 – 800 = -100
600 – 700 = -100
500 –6900 = -100
400 – 500 = -100
Equation
Now that you have a table of values and a story, you should be able to make an equation. Remember that the
equation looks like 𝑦 = 𝑚𝑥 + 𝑐, and is made up of the rate of change and a constant. The rate of change goes in
for the letter m (since it’s the multiplier) and the constant goes in for the c.
Rate of change = -100
from the first differences (table of values)
Equation
𝑦 = 1000 − 100𝑥
Graph
Finally, you can graph everything! Use the information you’ve
gathered from the previous parts, and make a graph. Include
all labels and draw your line of best fit.
Amount of Money
Constant = 1000
from 1000 being the starting amount
Note: If you prefer, you can use Excel to draw your graph.
Save your graph, and let the teacher know that you wish to
use (or already used) Excel. Your graph will be printed.
Number of Months
Unit 5 Assignment