To Graph:
Draw a graph representing a real-world linear function and write an equation for the graph. Describe what the graph represents.
Explanation of Solution
Formula Used:
Equation of slope-intercept form of a line is given by:
Where
Calculation:
Let us assume:
The cost of a tour is $2 and guide fee is $1 per person. Then , we can represent the total tour cost C , for p persons as follows:
Let
C = Total tour cost
p = Total number of persons
b = Tour cost = $2
m =Guide cost per person = $1
Then , we have
Guide cost per person = $1
Guide cost for p persons = $ p
Tour cost = $2
Total tour cost =
So, we can represent the given situation in slope-intercept form for the total tour cost C , for p persons:
Graph:
The C -intercept is 2
So, first we plot the point (0,2) on the graph . Then we go 1 unit up (rise) and then go 1 unit to the right (run) , since the slope is 1 , and plot the point (1,3). Now join the two points , we have the required graph .
Chapter 4 Solutions
Algebra 1
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