Graph two linear equations
Objectives
Student will be able to:
graph two linear equations.
use a graph of two linear equations to determine where the lines intersect.
Exercises
Refer to the information to complete the exercises. Show all work.
Da Kine Surfing offers two options for beginner surfers.
The Aholha option is $3 per hour plus a $9 lesson fee and can be represented by this linear equation:
The Kahuna option is $6 per hour with no lesson fee and can be represented by this linear equation:
x
= number of hours of rental for equipment
y
= money paid
1.
At what hour of surfing rental does the Aloha option and the Kahuna option cost the same amount?
Three hours of surfing cost the same amount whether using the Aloha option or the Kahuna option.
Check student's work.
1
.
Correct
Incorrect
Not Assigned
2.
How much does each surfing option cost at the intersection point?
Three hours of surfing cost $18.
Check student's work.
2
.
Correct
Incorrect
Not Assigned
3.
What should the label for the
x
-axis be? What should the label for the
y
-axis be?
The label for the
x
-axis should be hours and the label for the
y
-axis should be dollars.
3
.
Correct
Incorrect
Not Assigned
4.
Daniel bought the Aloha option and Kerry bought the Kahuna option. How much more does Kerry spend after 6 hours of surfing?
After 6 hours of surfing, Kerry spends $9 more than Daniel.
Check student's work.
4
.
Correct
Incorrect
Not Assigned
5.
Renee only has 2 hours to surf. Which option would be cheaper for her?
The Kahuna option would be cheaper for Renee.
Check student's work.
5
.
Correct
Incorrect
Not Assigned
6.
Da Kine Surfing decides to offer another beginner's plan that charges $5 per hour for equipment rental plus a mini-lesson for $2. This option can be represented by this equation:
At what hour would this option cost the same amount as the Kahuna option?
The Kahuna option and this new plan cost the same amount at 2 hours.
Check student's work.
6
.
Correct
Incorrect
Not Assigned
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Da Kine Surfing offers two options for beginner surfers.
The Aholha option is $3 per hour plus a $9 lesson fee and can be represented by this linear equation:
The Kahuna option is $6 per hour with no lesson fee and can be represented by this linear equation:
x
= number of hours of rental for equipment
y
= money paid