Linear function: table/graph
Linear Functoin: Equations
Comparing data
Functions
Random
100
Make a table representing the corn's height during the first 7 weeks. This shoould show the unit rate and initial value.
x y
0 10
1 14
2 18
3 22
4 26
5 30
6 34
7 38
100
What is the equation for function A:
y=3/2x-4
100
The equation and the table model the temperatures in two different ovens after being turned on.
Oven A
y=5x+70
Oven B
Time(x) Temperature (y)
0 70
2 70.49
4 71.23
6 72.32
What is the rate of change for Oven A and Oven B
Oven A =5
Oven B =multiple unit rate so non linear
100
Is it a function
x y
-2 3
-1 4
0 5
3 4
Yes
100
Draw me a positive sloping line.
Show me
200
Water from a tank holding 500 gallons is pouring out at a rate of 90 gallons per minute. Write a table that show how much water would be in the tank after 3 minutes.
Show me.
200
Is costs Johnny $15 to join a streaming service, plus $1.50 per song to download music. What equation should be write to represent his downloads and how much would it cost if he downloaded 10 songs?
y=1.50x+15
$30
200
The table shows the cost y to rent a hotel conference room at Hotel A for x hours.
x y
0 150
1 200
2 250
3 300
The equation represents the cost to rent a hotel conference room at Hotel B for x hours.
y=40x+200
Which one has a higher initial fee.
Hotel B with 200
200
Is it a function?
x y
-2 1
0 1
0 2
2 3
No
200
Draw an undefined line.
Show me.
300
A local health club charges $10 per month and then $5 for each fitness class taken during the month.
x y
1 $15
2 $20
3
How much will it be for 3 classes?
$25
300
Jonas currently has $350 in his savings account. He earns $100 per week tutoring. Write an equation that represents his saving.
y=100x+350
300
The table shows the cost y to rent a hotel conference room at Hotel A for x hours.
x y
0 150
1 200
2 250
3 300
The equation represents the cost to rent a hotel conference room at Hotel B for x hours.
y=40x+200
Which one cost more per hour?
Hotel A with $50 per hour
300
Is it a function?
Yes
300
What is the measure of angle LKM?
50
400
x y
0 $200
2 $800
3 $1100
5 $1700
8 $2600
What is the rate of change?
$300
400
What is the equation for function C?
y=x+2
400
Both Fit for Life and Exercity gyms charge a one time fee plus a fixed monthly fee.
Exercity Gym
Fit by Life
C=75+32m
Which gym charges more per month and by how much?
Exercity Gym, $3
400
Is it a function?
No, -2 repeats.
400
If Figure L is similar to Figure M, what is the length of the missing side length, x, of Figure L?
3 ft
500
Graph the linear equation that has a slope of 3/5 and goes through point (10,3)
Show me your work
500
What is the linear equation for function D?
y=3x-1
500
The function f(x) is shown
f(x)=3x+5
Several values of the function g(x) for different values of x listed in the table
What is the difference between the slopes of f(x) and g(x)?
2
500
Is it a function?
yes
500
Terrence drove to his sister's house, a distance of d miles. For the first 150 miles, he was able to drive relatively quickly, at 60 miles per hour. For the remining distance, the road was roughter, and he had to slow his speed by 20 miles per hour. For each part of the journey, he was able to keep a steady speed. The time he spent driving at the faster speed was twice the time he spent driving at the slower speed. How long did it take Terrence to drive the second part of the journey, at the slower speed?
1.25 hours