Question

Explain how you would graph the system of equations and why you would use that method.

Answer 1

Answer:

See below  

Step-by-step explanation:

(1)  t = 5c + 35  

(2) t = 10c

(a) Create a table containing a few values of x and y

  t    5c + 35  10c  

  0        35          0

  2        45        20

  4        55        40

  6        65        60

  8        75        80

10         85      100

(b) Draw your axes

You should scale your axes so the graph covers most of the plot area.

The slopes of your lines are so steep that, without scaling, they will be quite steep, and it will be difficult to tell where they intersect.

The independent variable is c, so the c-axis is horizontal. The dependent variable is t, so it goes on the vertical axis.

Let the c-axis run from -2 to 12 and the t-axis from -20 to 120.

Divide the axes into convenient intervals for ease of reading (I chose units of 2 for the c-axis and 20 for the t-axis).

(2) Plot your points

Draw dots at the coordinates of each point.

(3) Draw the graphs

Draw straight lines through the points.

Extend the line in both directions to the edges of the plot area.

Your graph should look like the figure below.

With the scaled axes, it is easy to see that the two lines intersect at (7, 70).

Answer 2

Answer:

Step-by-step explanation:

10c= 5c+35

-5c   -5c

5c/5=35/5

c=7