Solve Linear Equations and Analyze Linear Functions
Name:
1) Solve: 4( x  1)  2 x  x  21
2) Solve:
2
x 5  3
5
3) Solve:
1
x3 x 4
2
4) The plumber charges $50 to come to your home and then charges $70/hour for any time spent working.
The linear equation C (t )  70t  50 models this situation, where C is the total charge for service and t is
time in hours.
a) What does C (0) equal and what does it mean in the context of this story?
b) What does C (3) equal and what does it means in the context of this story?
c) If you were to graph this equation, it would be a line. What is the slope of this line and what
does it mean in the context of this story?
d) What is the y-intercept of this line and what does it mean in the context of this story?