The graphs of two functions and are given below. Using the graphs determine .
A) 2
B) 4.8
C) 7.6
D) 15.2
E) -1.6

Question

The graphs of two functions  and  are given below. Using the graphs determine  . 
A) 2 
B) 4.8 
C) 7.6 
D) 15.2 
E) -1.6

Quizplus · Accepted Answer

From the graph of 11ec19db_84bd_dc2e_9dbe_1f1a87a44870_TBX8673_11, we can see that the y-intercept of the function is approximately 3.2. This means that the function has the form 11ec19db_84bd_dc2e_9dbe_1f1a87a44870_TBX8673_11 = ax + 3.2 for some constant a.

From the graph of 11ec19db_84bd_dc2f_9dbe_c5e4f7093dba_TBX8673_11, we can see that the function passes through the point (4, 0). This means that when x = 4, 11ec19db_84bd_dc2f_9dbe_c5e4f7093dba_TBX8673_11 = 0.

Substituting x = 4 into the equation 11ec19db_84bd_dc2e_9dbe_1f1a87a44870_TBX8673_11 = ax + 3.2, we get:
11ec19db_84bd_dc2f_9dbe_c5e4f7093dba_TBX8673_11 = a(4) + 3.2 = 0
Simplifying, we get:
a = -0.8

Therefore, the equation of the line represented by the graph of 11ec19db_84bd_dc2e_9dbe_1f1a87a44870_TBX8673_11 is:
11ec19db_84bd_dc2e_9dbe_1f1a87a44870_TBX8673_11 = -0.8x + 3.2

To find the value of 11ec19db_84bd_dc30_9dbe_e1db58dd905a_TBX8673_00, we need to find the x-value where the two functions intersect. From the graph, we can see that this occurs at x = 6.

Substituting x = 6 into the equation 11ec19db_84bd_dc2e_9dbe_1f1a87a44870_TBX8673_11 = -0.8x + 3.2, we get:
11ec19db_84bd_dc2e_9dbe_1f1a87a44870_TBX8673_11 = -0.8(6) + 3.2 = -1.6

Therefore, 11ec19db_84bd_dc30_9dbe_e1db58dd905a_TBX8673_00 = -1.6.

The Graphs of Two Functions and Are Given