Name______________________________________
Date__________ Class__________
MS 51 Canned Food Drive: Variables, Predictions,
Graphs, and Linear Equations (y=mx+b)
You are about to drive the
Batmobile. But before you can drive, you need to know about the car’s miles per
gallon rate. You found out that you can drive 50 miles with 2.4 gallons of
gas.
Your
task is to:
1. Determine and Identify the
Independent Variable and Dependent Variable. Explain your reasoning.
a. Independent Variable:
Gallons of Gas
Explain
you reasoning:
The affects the number of miles traveled, so the number of
gallons of gas is independent.
b. Dependent Variable:
Miles Traveled
Explain you reasoning:
I am measuring the amount of miles traveled.
The
dependent variable is the one we measure.
2. Complete a table for number
of hours from zero to ten (in 25 mile intervals).
X:
Gallons of Gas
|
0
|
1.2
|
2.4
|
3.6
|
4.8
|
6.0
|
7.2
|
8.4
|
9.6
|
Y:
Miles Traveled
|
0
|
25
|
50
|
75
|
100
|
125
|
150
|
175
|
200
|
3. Predict the number of gallons
needed to drive 500 miles.
If
200 miles need 9.6 gallons, then 400 miles would need twice as much as 9.6.,
which is 19.2 gallons.
We
can keep building and add 100 miles, which is 4.8 gallons. Thus 4.8 plus 19.2
is 24 gallons of gas which is needed to travel 500 miles.
4. What would be the miles
traveled if you had 20 gallons of gas?
We
can solve this with a proportion:
20
gallons can let us travel 416.6 miles.
6. What is the Slope of your
function?
What does the slope
represent?
Rate of change =
Dependent divided by independent = DV/IV = 50/2.4 = 20.83
50miles/2.4gallons = 20.83miles per gallon
m=rate of change=slope=20.83
7. Write a linear equation
that represents the number of cans collected per hour. Identify and label what
each part of the equation represents in terms of the situation.
Y=20.83x
Y=number of miles
X= number of gallons
M= 20.83 miles per gallon